{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Principal Component Analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We explore what is perhaps one of the most broadly used of unsupervised algorithms, principal component analysis (PCA).\n",
    "PCA is fundamentally a dimensionality reduction algorithm, but it can also be useful as a tool for visualization, for noise filtering, for feature extraction and engineering, and much more.\n",
    "After a brief conceptual discussion of the PCA algorithm, we will see a couple examples of these further applications.\n",
    "\n",
    "We begin with the standard imports:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns; sns.set()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introducing Principal Component Analysis\n",
    "\n",
    "Principal component analysis is a fast and flexible unsupervised method for dimensionality reduction in data.\n",
    "Its behavior is easiest to visualize by looking at a two-dimensional dataset.\n",
    "Consider the following 200 points:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f20d6a18588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rng = np.random.RandomState(1)\n",
    "X = np.dot(rng.rand(2, 2), rng.randn(2, 200)).T\n",
    "plt.scatter(X[:, 0], X[:, 1])\n",
    "plt.axis('equal');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "By eye, it is clear that there is a nearly linear relationship between the x and y variables.\n",
    "The problem setting here is slightly different than a supervised learning problem: rather than attempting to *predict* the y values from the x values, the unsupervised learning problem attempts to learn about the *relationship* between the x and y values.\n",
    "\n",
    "In principal component analysis, this relationship is quantified by finding a list of the *principal axes* in the data, and using those axes to describe the dataset.\n",
    "Using H2O4GPU's ``PCA`` estimator, we can compute this as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<h2o4gpu.solvers.pca.PCAH2O at 0x7f215059ed68>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from h2o4gpu.solvers.pca import PCAH2O\n",
    "pca = PCAH2O(n_components=2)\n",
    "pca.fit(X)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The fit learns some quantities from the data, most importantly the \"components\" and \"explained variance\":"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[-0.94446027 -0.32862553]\n",
      " [-0.32862553  0.94446027]]\n"
     ]
    }
   ],
   "source": [
    "print(pca.components_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 0.76253147  0.01847789]\n"
     ]
    }
   ],
   "source": [
    "print(pca.explained_variance_)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To see what these numbers mean, let's visualize them as vectors over the input data, using the \"components\" to define the direction of the vector, and the \"explained variance\" to define the squared-length of the vector:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f212ddb69b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def draw_vector(v0, v1, ax=None):\n",
    "    ax = ax or plt.gca()\n",
    "    arrowprops=dict(arrowstyle='->',\n",
    "                    linewidth=2,\n",
    "                    shrinkA=0, shrinkB=0)\n",
    "    ax.annotate('', v1, v0, arrowprops=arrowprops)\n",
    "\n",
    "# plot data\n",
    "plt.scatter(X[:, 0], X[:, 1], alpha=0.2)\n",
    "for length, vector in zip(pca.explained_variance_, pca.components_):\n",
    "    v = vector * 3 * np.sqrt(length)\n",
    "    draw_vector(pca.mean_, pca.mean_ + v)\n",
    "plt.axis('equal');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "These vectors represent the *principal axes* of the data, and the length of the vector is an indication of how \"important\" that axis is in describing the distribution of the data—more precisely, it is a measure of the variance of the data when projected onto that axis.\n",
    "The projection of each data point onto the principal axes are the \"principal components\" of the data.\n",
    "\n",
    "If we plot these principal components beside the original data, we see the plots shown here:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This transformation from data axes to principal axes is an *affine transformation*, which basically means it is composed of a translation, rotation, and uniform scaling.\n",
    "\n",
    "While this algorithm to find principal components may seem like just a mathematical curiosity, it turns out to have very far-reaching applications in the world of machine learning and data exploration."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### PCA as dimensionality reduction\n",
    "\n",
    "Using PCA for dimensionality reduction involves zeroing out one or more of the smallest principal components, resulting in a lower-dimensional projection of the data that preserves the maximal data variance.\n",
    "\n",
    "Here is an example of using PCA as a dimensionality reduction transform:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "original shape:    (200, 2)\n",
      "transformed shape: (200, 1)\n"
     ]
    }
   ],
   "source": [
    "pca = PCAH2O(n_components=1)\n",
    "pca.fit(X)\n",
    "X_pca = pca.transform(X)\n",
    "print(\"original shape:   \", X.shape)\n",
    "print(\"transformed shape:\", X_pca.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The transformed data has been reduced to a single dimension.\n",
    "To understand the effect of this dimensionality reduction, we can perform the inverse transform of this reduced data and plot it along with the original data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f212dd7d278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X_new = pca.inverse_transform(X_pca)\n",
    "plt.scatter(X[:, 0], X[:, 1], alpha=0.2)\n",
    "plt.scatter(X_new[:, 0], X_new[:, 1], alpha=0.8)\n",
    "plt.axis('equal');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The light points are the original data, while the dark points are the projected version.\n",
    "This makes clear what a PCA dimensionality reduction means: the information along the least important principal axis or axes is removed, leaving only the component(s) of the data with the highest variance.\n",
    "The fraction of variance that is cut out (proportional to the spread of points about the line formed in this figure) is roughly a measure of how much \"information\" is discarded in this reduction of dimensionality.\n",
    "\n",
    "This reduced-dimension dataset is in some senses \"good enough\" to encode the most important relationships between the points: despite reducing the dimension of the data by 50%, the overall relationship between the data points are mostly preserved."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### PCA for visualization: Hand-written digits\n",
    "\n",
    "The usefulness of the dimensionality reduction may not be entirely apparent in only two dimensions, but becomes much more clear when looking at high-dimensional data.\n",
    "\n",
    "We start by loading the data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1797, 64)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.datasets import load_digits\n",
    "digits = load_digits()\n",
    "digits.data.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Recall that the data consists of 8×8 pixel images, meaning that they are 64-dimensional.\n",
    "To gain some intuition into the relationships between these points, we can use PCA to project them to a more manageable number of dimensions, say two:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1797, 64)\n",
      "(1797, 2)\n"
     ]
    }
   ],
   "source": [
    "pca = PCAH2O(2)  # project from 64 to 2 dimensions\n",
    "projected = pca.fit_transform(digits.data)\n",
    "print(digits.data.shape)\n",
    "print(projected.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can now plot the first two principal components of each point to learn about the data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/navdeep/h2o4gpu/h2o4gpu_env/lib/python3.6/site-packages/matplotlib/cbook/deprecation.py:106: MatplotlibDeprecationWarning: The spectral and spectral_r colormap was deprecated in version 2.0. Use nipy_spectral and nipy_spectral_r instead.\n",
      "  warnings.warn(message, mplDeprecation, stacklevel=1)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f20c4f88278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(projected[:, 0], projected[:, 1],\n",
    "            c=digits.target, edgecolor='none', alpha=0.5,\n",
    "            cmap=plt.cm.get_cmap('spectral', 10))\n",
    "plt.xlabel('component 1')\n",
    "plt.ylabel('component 2')\n",
    "plt.colorbar();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Recall what these components mean: the full data is a 64-dimensional point cloud, and these points are the projection of each data point along the directions with the largest variance.\n",
    "Essentially, we have found the optimal stretch and rotation in 64-dimensional space that allows us to see the layout of the digits in two dimensions, and have done this in an unsupervised manner—that is, without reference to the labels."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### What do the components mean?\n",
    "\n",
    "We can go a bit further here, and begin to ask what the reduced dimensions *mean*.\n",
    "This meaning can be understood in terms of combinations of basis vectors.\n",
    "For example, each image in the training set is defined by a collection of 64 pixel values, which we will call the vector $x$:\n",
    "\n",
    "$$\n",
    "x = [x_1, x_2, x_3 \\cdots x_{64}]\n",
    "$$\n",
    "\n",
    "One way we can think about this is in terms of a pixel basis.\n",
    "That is, to construct the image, we multiply each element of the vector by the pixel it describes, and then add the results together to build the image:\n",
    "\n",
    "$$\n",
    "{\\rm image}(x) = x_1 \\cdot{\\rm (pixel~1)} + x_2 \\cdot{\\rm (pixel~2)} + x_3 \\cdot{\\rm (pixel~3)} \\cdots x_{64} \\cdot{\\rm (pixel~64)}\n",
    "$$\n",
    "\n",
    "One way we might imagine reducing the dimension of this data is to zero out all but a few of these basis vectors.\n",
    "For example, if we use only the first eight pixels, we get an eight-dimensional projection of the data, but it is not very reflective of the whole image: we've thrown out nearly 90% of the pixels!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![](figures/05.09-digits-pixel-components.png)\n",
    "[figure source in Appendix](06.00-Figure-Code.ipynb#Digits-Pixel-Components)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The upper row of panels shows the individual pixels, and the lower row shows the cumulative contribution of these pixels to the construction of the image.\n",
    "Using only eight of the pixel-basis components, we can only construct a small portion of the 64-pixel image.\n",
    "Were we to continue this sequence and use all 64 pixels, we would recover the original image."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "But the pixel-wise representation is not the only choice of basis. We can also use other basis functions, which each contain some pre-defined contribution from each pixel, and write something like\n",
    "\n",
    "$$\n",
    "image(x) = {\\rm mean} + x_1 \\cdot{\\rm (basis~1)} + x_2 \\cdot{\\rm (basis~2)} + x_3 \\cdot{\\rm (basis~3)} \\cdots\n",
    "$$\n",
    "\n",
    "PCA can be thought of as a process of choosing optimal basis functions, such that adding together just the first few of them is enough to suitably reconstruct the bulk of the elements in the dataset.\n",
    "The principal components, which act as the low-dimensional representation of our data, are simply the coefficients that multiply each of the elements in this series.\n",
    "This figure shows a similar depiction of reconstructing this digit using the mean plus the first eight PCA basis functions:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![](figures/05.09-digits-pca-components.png)\n",
    "[figure source in Appendix](06.00-Figure-Code.ipynb#Digits-PCA-Components)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Unlike the pixel basis, the PCA basis allows us to recover the salient features of the input image with just a mean plus eight components!\n",
    "The amount of each pixel in each component is the corollary of the orientation of the vector in our two-dimensional example.\n",
    "This is the sense in which PCA provides a low-dimensional representation of the data: it discovers a set of basis functions that are more efficient than the native pixel-basis of the input data."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Choosing the number of components\n",
    "\n",
    "A vital part of using PCA in practice is the ability to estimate how many components are needed to describe the data.\n",
    "This can be determined by looking at the cumulative *explained variance ratio* as a function of the number of components:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[  1.48905917e-01   1.36187670e-01   1.17945947e-01   8.40997820e-02\n",
      "   5.78241431e-02   4.91691148e-02   4.31598662e-02   3.66137360e-02\n",
      "   3.35324839e-02   3.07880676e-02   2.37234286e-02   2.27269686e-02\n",
      "   1.82186226e-02   1.77385513e-02   1.46710036e-02   1.40971551e-02\n",
      "   1.31858798e-02   1.24813806e-02   1.01771773e-02   9.05617105e-03\n",
      "   8.89538386e-03   7.97122910e-03   7.67493398e-03   7.22903447e-03\n",
      "   6.95889383e-03   5.96081542e-03   5.75615309e-03   5.15157558e-03\n",
      "   4.89540265e-03   4.28887926e-03   3.73606372e-03   3.53274649e-03\n",
      "   3.36684295e-03   3.28030164e-03   3.08320349e-03   2.93778920e-03\n",
      "   2.56588675e-03   2.27742837e-03   2.22277999e-03   2.11430605e-03\n",
      "   1.89909822e-03   1.58653028e-03   1.51160599e-03   1.40578833e-03\n",
      "   1.16622291e-03   1.07492381e-03   9.64053986e-04   7.74632065e-04\n",
      "   5.57211324e-04   4.04340064e-04   2.09917664e-04   8.24781062e-05\n",
      "   5.25174227e-05   5.05247854e-05   3.29961730e-05   1.24375269e-05\n",
      "   7.04785998e-06   3.01394469e-06   1.06134699e-06   5.28564827e-07\n",
      "   3.71170448e-07   4.00156216e-10   0.00000000e+00   0.00000000e+00]\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2070054b70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pca = PCAH2O(64).fit(digits.data)\n",
    "print(pca.explained_variance_ratio_)\n",
    "plt.plot(np.cumsum(pca.explained_variance_ratio_))\n",
    "plt.xlabel('number of components')\n",
    "plt.ylabel('cumulative explained variance');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This curve quantifies how much of the total, 64-dimensional variance is contained within the first $N$ components.\n",
    "For example, we see that with the digits the first 10 components contain approximately 75% of the variance, while you need around 50 components to describe close to 100% of the variance.\n",
    "\n",
    "Here we see that our two-dimensional projection loses a lot of information (as measured by the explained variance) and that we'd need about 20 components to retain 90% of the variance.  Looking at this plot for a high-dimensional dataset can help you understand the level of redundancy present in multiple observations."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## PCA as Noise Filtering\n",
    "\n",
    "PCA can also be used as a filtering approach for noisy data.\n",
    "The idea is this: any components with variance much larger than the effect of the noise should be relatively unaffected by the noise.\n",
    "So if you reconstruct the data using just the largest subset of principal components, you should be preferentially keeping the signal and throwing out the noise.\n",
    "\n",
    "Let's see how this looks with the digits data.\n",
    "First we will plot several of the input noise-free data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f205f4c1438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_digits(data):\n",
    "    fig, axes = plt.subplots(4, 10, figsize=(10, 4),\n",
    "                             subplot_kw={'xticks':[], 'yticks':[]},\n",
    "                             gridspec_kw=dict(hspace=0.1, wspace=0.1))\n",
    "    for i, ax in enumerate(axes.flat):\n",
    "        ax.imshow(data[i].reshape(8, 8),\n",
    "                  cmap='binary', interpolation='nearest',\n",
    "                  clim=(0, 16))\n",
    "plot_digits(digits.data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now lets add some random noise to create a noisy dataset, and re-plot it:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1797, 64)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f20b80a7dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(42)\n",
    "noisy = np.random.normal(digits.data, 4)\n",
    "noisy.astype(np.float64)\n",
    "plot_digits(noisy)\n",
    "print(noisy.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It's clear by eye that the images are noisy, and contain spurious pixels.\n",
    "Let's train a PCA on the noisy data, requesting that the projection preserve 50% of the variance:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "12"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca = PCAH2O(12).fit(noisy)\n",
    "pca.n_components_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here 50% of the variance amounts to 12 principal components.\n",
    "Now we compute these components, and then use the inverse of the transform to reconstruct the filtered digits:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f20b80a75c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "components = pca.transform(noisy)\n",
    "filtered = pca.inverse_transform(components)\n",
    "plot_digits(filtered)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This signal preserving/noise filtering property makes PCA a very useful feature selection routine—for example, rather than training a classifier on very high-dimensional data, you might instead train the classifier on the lower-dimensional representation, which will automatically serve to filter out random noise in the inputs."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example: Eigenfaces\n",
    "\n",
    "Explore an example of using a PCA projection as a feature selector for facial recognition.\n",
    "We will use the Labeled Faces in the Wild dataset made available through Scikit-Learn:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['Ariel Sharon' 'Colin Powell' 'Donald Rumsfeld' 'George W Bush'\n",
      " 'Gerhard Schroeder' 'Hugo Chavez' 'Junichiro Koizumi' 'Tony Blair']\n",
      "(1348, 62, 47)\n"
     ]
    }
   ],
   "source": [
    "from sklearn.datasets import fetch_lfw_people\n",
    "faces = fetch_lfw_people(min_faces_per_person=60)\n",
    "print(faces.target_names)\n",
    "print(faces.images.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Sample of original faces with effective dimensionality of 62*47=2914, which we will reduce to 150 dimensions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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UHQUDlgwfP30fMb+dFRmKmtJoVhv03YAhXbYOVpvx3Vt3ci/EfRHnzrmAsy20Ph/qr6oFnj//FOWsgDU2Xf5926M/9nDO47g7QuUqOZ8R1YnImJACWaFO0lTAiBiNSMYpksdCesBzcnC5H/+esyxd2O4knRTRw0lQ1A/wzifOyzsPRs5nluUnBpfScCIYf0JhBReEeoafxZSrUIJ4TCEVHEde5eRI2Ygg2RTICCkwtEPicE0H2R5BBtT7k7uMc07OZxjGaHRdA845lqun580dIzJM+/6NpeFstEmWECfvCGVjYQ/TEjJKzwYHyhiDLFeJjzNFIpzz0NZiVVVwIUqv8xxN30MGm5VJiWVZosozZFKNwbL38PBQQqDM6IxTSuAfd3jfavgjQS1GsDHXqAqVoCzvx02Y4KoA29OfewzWgmkNKUT6OeUIzWnegvmU+2cMAKcL0hn7Q2JFMBYEjbpEqIAF8pA77tsOzg2JjHLuSPnKsJlixM85kepUnqXLe+g1RIjSGGdQIQ/Fw6Wn++HkAgeQHKm4TkJycBFSJ85h6AbobgCX4oQ0x8LhjJcf4xyCebiBNmOEu4mDQCjCuVC/EAJadxCCiFti8qzO2uTleh/yWYoiNSFEynV5D2RFjqzIwmVA0TwL7zXmuPkE0dH9gOO+RX/skVc5VCYTUkB/TpGMGUyKkI02IyEwXAqUH9eQMnuvqC8viIchBHESskKFZ+XJ8R26AYxz5OFnEV51iOmrU4fN9JpSZIHwdAJ5Y9zTKW/LWHBigxMdz5kUYIMJZyM6DAH1KCLXQoBzAf0eULexFEl7eGjdw07QorY9wDkLzgXKIk959b6nlGBZXgAAinKeIi4yDCNS5ANcDxBEHREU7zz6KvAJwvuc5vDBGbyJEaFNl7C17sRYpDWHfy+4V6kcRTFLhvQHOWlLSM7h4ZC4KjGHHc+9yhWElOSoDQbOuPCzN7kKE4c+OJkxADAa8Gx0CCMpNpFj30hDTXkB0bieG/FX1QJZVoLzmEeP6RmK6KUc4WshBJ3BkHpNjrxxcJz4PTY6NPHvKAkeIHxmAC8EuCQE04X703MHTHgO3HnwQIY2g4Zz4X17D84FpMygQnAiewXnLI7HPY7H87k9cUS7lhws6044E96PziYZ/tM9MnQajBvao96HVIw/Sd/ENdkrAWMJol9WFeo8BK7BCRmMQdP3sN4jl0QA5BM0SEwQde89TEAOYjD9m8ZjOd/jeByP43E8jsfxT2i8NeJXAerknCeSCkDej9WhpIyTF8Q45Tr9JPqPgwev1DoHO/mZnnjjUko4T94LeSynzxIRBmMs/S8wm7OCoNz+GCMFnf4uix4aF+8V9TEm4L2F8xaK54kpKpQEAgISZ0BRvqISvOIUXo6lXjGSowwFS6VJABIk6JyH7gbK3RRZghf7luYXvUarTYI8o9dPZU06wd0xr0qEyPPyXbvNA9r2kPKyY56OIrPI3mdshBiHdkAnR2g1QvdcEPlH5goyV7C5/QGcF3OkeZUjK3IcHvZUntkOEyiT07ytJ6QlUwA0zBAjgVPoFwBmsxV229uz5g4AeV2k6M1am8oHY4WJd47edUaRXl7lkEqmaAwArLOJec44B5Mjh8Nqi64jRE2HzwMby7mm0HUiAQaIf7q3GBv/fsz109pz1IsK1qxwbM+PfKwzMEanfCc9gE/5/rKcQ6qc8sn6AO99YoQDdJ5F4BZYa2CNhnOSiF+BFR1HZL9nZQaVyRQVxVQirYFLZ8W0JqXTIqnUDBrWjPue/nlK0DpnDEOH7tAiK9RIvOqIb5POhPfIqyKVqDLGTvgvcW4uEPCI9CvSXQaMeW7OQ4rHOnjhUzok7mlnXYKf/QkyNObDE/oDBx3uwXNTnHW9SpF9npWJzAkg7AcPIViC3JWkd6qKEVnjnHLjkdwXU5URNYx2xAwmVWBxTkiYNTaldKItiZ/JpUwIq7eO1pILFEWNsiBW//G4Q5YVsNZiu705a+4ApbPshC/wZprZOyS7J0HPa7QFm6TuEFJ53LNU/hvvaD7hgcQ722oLFEg5/ExKVFmWoP4iy5BLSX/+BsrDQOh6TJnbSQr1bePthr/IgiEZoHuMJKsIRSLWLEb4UoIJDg9/UkrAGYMMBr3TGpmkembGWGL1Ox9gfpCDEHPdccTNbQzBvN6O7H6AoDVi1vqTnHAkkL1Pjp/ylhpS5iiKCm3bpM91xsEzR8YsGHwyWioRCoGwuQeTalqneezpC4rQZ8xhMkaOV8xvxbUwg8bQa1hjobs+vYvxohzXTGUSRVGh71tofR7kq/XI2OYTxylebpwzZCWlgBIsy1gyggCRlEay20D7JxwKHciY8TNlRtwAlWcQkqNcVMiDhsTQjfCv0SZcKAo8lAtG9uy0tC4a2+XFGl334qy509qdplbM5P1wwZFneSKiRQawDRyDuP9i/TFAZyke+Mi+ju90Ckd769A1PWk+hEsiOnIEM9uRZBs+z1pKLkg5OpLxfSwuV2AP5+39eFG/eYHYoI+hVBF4IxZd10BKhbKcYz5bp7IqqgFXqc4bQCppmhq+yJ/IcoX5xRzlrCRuQ+YxtD0GE4lWnJw5FyHxQLjSESIeL2hKA7igITDmf88ZzkXHmhxxAOiOPawmwlxe5agXFZjgqaZeTPLZU8M8vS/j3OP9EA06m1RCTUmM0YGdkhjT508MY8wnA6HU9w1tjHcdY3WBRF6VKcU49BqKjWciabbkGaV+J1A/nUf6rLzMoTIFxpHIm9OzpTdUDdYeWlhtiVCnJIzuR/0ObeB9sDXxfAsOZnhywhaLS3pO3RHUPrTvFewB0WGkfz8l1k5IlFPHyzkwxyYpXJE4cVww6IFIt1zwxAsB6Ky3hw5gxPZf1BWV8xkNTKgpc+8hGEMmyTGYGv74ziLU3xuD4xAIvm9xAN7O6o/RJGihI3HFOZ9IC7HGPOadp/m19Dl+rNfPpIS2RECLuYj4OwLkwSSDI/iJdwtMIk8lwWXImYQSoHJWptw4QOQ8aylqeR9WvzEDnLOhfE+B97HMRBAzlbEg2mLRt2SEo2FKXri1odyMhVy3TDX407xQzO0BQazEmPT3wH54oQspyMsOYi96MIFcOTo5jjmo/LzcfhxVtQRnVIIWc9oAkf5URg5e9Oq5CN54QC0il8Fbl3Kf06hIzRQxlKMwjXWJIKN7jb4lAiFFwCOiwAUdfqsthq5P+5DQFKR8GwB4TzwU5z2Wy6uz598eWhR1kfL2kYkMULWAdz5xYLx16Ns+XWiJC5NJ5KsaKs/IkbVEwnTOnZQ/xTMcS/2sNujbHkOv4cxYBnncH0nQSI9aBS7wHOiyGTUc+rbH0A6ol/XZBK/I5mfMBoY/vSchVKjxDu858Aeqao7V6ilmszXyjL6/qCvaJ5wnMlt8xkgMBuiOiUFD1HGgW9eDCZ72bzxbTookBAMQcmLDPZKcfCFCVYFEFp7nnOEckVpVrogkF561P/YwegDnOT2PsbBtP5bmcjbekRPkM5Y9T2v33zQoMYgh547Koqeojw8VHPFn9BmTZ57cpda6hDK8D+KhVAalspDDpzWVUsIym/hHTDhwT3efsJGvMpL2WDq7/ESHRHc6BSdGE0+FiIgukX6jE5fuPOvgtE2obkSCrDXgTEAphqax4e/IEPFr6EAwP2eMPAvxg8obq0kzJb6/qOMig6MznmMPOJu4ZzHKj88d59GFz+yaDvt7qjySSqKoiQQZ99J6NccH6wtczeeo8xwylABO8/pxaGtCVYNI6/ebxj+K/4pQY5iUs4DknTLGoBPcPkLYUaAHCB59iOQlF8imggWTkj1uLdSkXCE6DmlSE0831UuHC9dqEj+ZrWcQSuC4JUWxu7smPAN/r4hfygyckVcZL0OA6ja5GKF52+sktFLNq0RKi/NHMNQi6B9E9aqp8E0sgYubIyq2GW3QHVocmyCmMozQmJAEH6fnMBZC8ZNqCHISzoc8y7pKnnN06sKH0vcZl2quuRBkuBmVE07FSqQSge0v0B1adE2P+cUcWZmlqMQMmqL94NG3h5aEisIFEaOOSArTQ4iqw3M572EnNfNp3UGRSqybPWd0TUeHr8qpUiIZlajbYKH3Gv2xQzErMV/NkJc5ytlphOm9/wHCExGdNP/+tNSSCY6sIGdzyl4fugFZkYFLujxsUDdjLNS5q1EUKEaAuhugivMMf9w3QHQi1fjv8cJjDpxxiKjMJ7NQ5pql32WcyrpkHtjdISqcnsWI0kTjNxI++UlKwAcxJ6stVK4CJEznKC9zuMwlUqsKrP5pwHDOUKqAlJRm222OY3rGGjDGkRdFKpucLWuUiyox+yPalQc9iwj1CslDmVeM+JHmGQOJKSs/3nPOTchkAcmIDu90xHQQgFFMS+PEYX2XQe8+EkRtivKnJMH4DvlERXFqsNmkmmBqN8YULP3TmpGMq/KM7EpQJ4wkPgCpRDfZH8agtU4OKRENQxqBSzgXBIHkmRUNGJ2yqSMGIKVVnbUUBDIOZtmJZot/A2UxmmxCVhK52eoQIDZjOG+tgwznupxXmF/MUS0rVGWBWVC/nRcFiiCWZJ2j+845CM6DzRzPVNP3KBRV0eXqt8//rYY/GdgjQTFRljDK9Pp44WYhjxmiwFwp5HI0fJGx6AOcX+c5eq1T7SIw1vMXiiLD/o2Sr+mLiV7RYUOGvahz1KsautdQucLudkuTe61g9AC8p+dbljMMQ5dg7yncHYdQAkVVBGldiWpeIq+Lkwg9bohoAHhOkM9veibOOWRJ0XyEilWmUo7faENeY8j9g4+H0IJ0DuJzds2E9a/Oy/HnVU6wcqjljyNeMIyNBiIa92hsokcfVauiweiaHvv7HYo6TxLLANAdO4pOV7P0fkmyV58gFtHJe1PS1GjSO2B8zLEK5ynS4jylqM4Z5M3T2lpvTmqwnbXIigxqkSXnIKZ64joAwVHpNbwZ5UeBEbqMEL8zNjGGvY9ri2T04zpZY8HCZSukwNANhLhM0JTxonIBXjyNDN9laD3AmAHWanAuIPhk70TDzRi4kJCC9C3a7gDrLLKMzqQ4SBR5jXoxRwmkig9ghLsBOhPOOAic7qek8TBxNLkUqRw0sd85S+V/uxA1ZXkJKRW0HuD9+az+PC8hhETTbNA022SAOOeoqnn6PSEI8peB98ImolSY5HQjfB3nH5EfIOSNPdV5RwaU4PIHqEAcCfmYlFFTzhkQmOprnL/n6dk0OK9/+N2eqo68H6uPpJLEy8gVhBRpj3POUc5LzNdUGRE5GNGRS+eXM6hoJ0KVUqzQiWsGIJX6AUgKsgmF6Y+prBQAZvM1ju0ONzdfnzDf33UkRFXwk7Mc9yUme3N6J3jnUmltREUS8hrE1SJ6KYso1yyTfkc5K3H58hK/+8kHuFoskCuV2P2Sc+RKQYQg2jqXVPsAoFAZqlDOZ51HOwyosgxF9tvR3n/UGvTHPokrxBGhi3jRG00RqsodWA7kE0EBxhg6PaBP3ho9HGMMhRprElOEP0kRcEG5CxuEMAAgK8mrznKF9tAhyym/LnOF3e0O+/v9BJ56v1KuOLKshNED9vsHSHlIZYG6nwfpRRG89ZB3iWkJO5IYY048rlW89AH8wGsfS3VCvbaPXuZUCjLWhpNxIKIdEUycseB1kd6VkCJ5neeWNVlDAkFKFaf5pBC5UP5qjNCAkNua8BuyggR9qHwvXFiOpEdvX92mw3zYHiCEwMXzNfK6SHC1M/ZE1pgOo0gRXxyRI5AVVEIFAEfTwDkPlav3M/yG3kE8zPGidp7Kssp5RamAgOwYbcB7doouTCBgFhARJjis/CEExzmpP5pA9okQM5W00e9kZQarLTnhwfid5D3ZeFl6R1ETOEso0buOvj8mh5dSKUG/Q2bIcyr1oty9SKRRrYn4Fkuo+v6ITBUoqzlm9QrzxRrziwXyKj9ZIxfJbZMIK3KGOGcpijTMTCB9upi5HSMdM2jkwTkuyznyvIIxGgznO/yRu0BaACaVVRnjUBQ1nPMoywzVsgIYrW/UF4kojtWW7i1rIeSYLpoa/DgobUDOACkzUvrKhJI1YIySYy07/Syci+Dsx9I/HlBaxt9DtTA4EtaSAe4ZrSnxGKg8mOTEWTDO1Ivk9zgzAAAgAElEQVQgngOA+CxFVSAriPxJDoNMDl1MxeZlnlCRrMjgrEXX9Gh2DboDT4Fdszlg/7CDdQZlWUOoWGqsIIQ6KTeVMkuKq7v93dnzt0YnW3OaR6d7PN7HetAjCh3SMKPIGYfkUz2TUMbIOYQaOTox5QvQXUe6CxLHYcCiLPF0sQAAzMuSlPzkqIMjOU/5fsE5VjVJqtd5jtv9PnHnftt4q+Hvjz2O+2MgmbgTGco4psQngOqwu7zHcUEvd11XEIxjVhRkxJ0Dg4PgDNb5JNGbyHCWVP+stWCOwce0QjgoeZYhzzNwRiIyeUUkq/7YY3+/x/dffI+7b+mFj3K9Hu8j2Ru17tvjDj0okgDo8EklkrLbFI412oJxfao0GHJFWa7g40UdwrrpIY6Xdsz7xAZF0SsEkFSuIuwllEj16yRelOG4O46fGSLDKenvXcbubpPU/hhjSXBIKplUuawOzXIYQ6lk6B1wSjiKUW9R56n22lqL/f3+pEa22bcYugFFXWD1dJUY8sC430YI0CeCDULKI0YTU/IT5wzZ/PwcLwDooSfSYiSRxr0fSDsuiI/4CIGGMzJEfgIwily5KMAyNlNik/whvVuemhARsp6BMQ09mJHjwB10kMam/x7z+2HB0/P3bY+m2SeH85zRdw3636BxnyL2EPkWeY08rzBfXCRRqyhrzRhDe9xjt7/DrZAoihrr9XOs189PmjkxzqDyjIxHnhGvBREC5snB071Gf+xHIp3gqZrBBDW0iEbleYWynEMP/dnVLADJETfNBnW9AoDUrMgajdlsjXJW4OqjK8yWdfruOJdo2I02yUklueFwto1Jab64lgkZkCNiZW2U3g7/bYg5HrUrHADBYp6UgZmxgUtKvfHzU3wkv+xhLVVJjKkJcrqiLkeWK+R1gbzIgoaHSmmOelWjqIpEdKUGXUGoKqSNAaTPyHKFoi7Q7I7QDwc8fP+Au2/vcNgQgrN5eI3d/h7OGcznlygK6sUghAJJM08qfzhHlpWYLy7Qdoez5g4QgZUHfYLpvR6DsFhxQ4vFTrRY0p0/+VlUlxy6IekUTCE47wKXpSDUZOg1mr4/aWCXxMg4NfwiZT8HOOLMWe8xD6J1H11cQBuDh0ODB9H81nm+9VQcHvbQg0E5K5EtVbrU6RKbSGg6WpBm02Bzs8Fx26Bc0EVw+fISi4s55hdz1LMKi7JEnecEwQaWf1xYYJTs9dYFZABJIQkIcogB7lC5grcOu9sdrr98jW/+4RW+/eJrHA4P9LucJ0LS+5D7rCWt77Y70OJjhFETGc+Tl54HpbnYiUm8ka8j9T+bNj1FNzgx/FHZL16GUZHQDOOlZoxJSn1DNyThGN3r1CVuJPlQaYzu3yjLeofRHLfo+yPyvEpNWYCQ62MsNR0C6KC3+5ZK8DqdLoBqXqGcFdCDwfxijv5IRsEZh2pRpc9UucJhc8Dh4YD20KJruqT+FecEjI4oFxzVvAwVACASIEeQOY6kSnIWj7tjijDOGcd2h8WwImWughwqAOl5oqNGuXiZLuQp/AdQFUq8KCLCAYw5XCCqoiFFjtPLetrjQCoBE8iVzipSRMQIGXrnJmWtBn1/DII7Z0b8oWRPqTwIpJCRjh33aE+UKZpfrp6irCsIySf79EM0+x2ur7/EZnON7fYGw0BNc56YDzBbUTRDBp+cu9iRUXgBgPZ8bIzV7I5oD9SFcRpo2KBuGPs2AADnArPZCm27x/uId8WmREVR49hs0TQbAGQUlcowW8+pVDKw0WMpZuyjACCJK0X1xXhmoyGIEZkFUnonK/ITaV9y2k75OpyPwZCHT44CfWc0/IB3SNUC5wxjDaEczkIpDemCIpyQ5AA1ZLh16M8REU3hRHJu6kWNclbguB97PUglUM6JNxQ5WHowAO/R7lvcvrrFzdc3+PaX3+Hh7joJRQG0D1erpxiGFkJIqlDyHmBdQmWsG9MMFPUvkjN6zvDeQymq1JJqvHtYzL8BibRKa/1Dlv3JnS44uBrLgqkMfvw+axyyMsPyyRLLqyXmixrLqsLFrMbFjCpkqiyDCHsiivWkqo/gFGThjL5cr2EdBc/t8NvvvbcafqNt0sJngqcc/5tQk/ce+/s9DpsDNtdk+CNZbXO9IRW0kAtdP1vj8uUl1pdLrOvxxYzd/OgSBGew04Ydb5C2rHXoDi1uX93hm8+/wdc//wp3d69OmnJ0XYOqWhIcf2ajEgCpveP9/Xfo+zbl91QmAU4d53Q/JPal0RYy0yn3BSDV9EfPPrZutW9A+JHUIjPqP8ClSBfhFN4LizBqdQfimYhNavohGRpnHfabPY7H7dlzPzZbaDMQcUuNfARnHJptg/tv71JEub+vKaXTNfDep05+kXlNBsFh6HRoo3tENa9OSpqsNolHYgaNYRiw3VxDmyEd4Kqah/ybwvLJCrP1LMHtPMicTqMvoSS6my32+83Z8++6JqkDxrK9OGIkE99JOSsJeQn6FtPzMe3gKJUElzy10I1rqgeN7tDisG2ok1ko+4kEqVj+1x9HTQejqbSNydFRMHp0LHU3wFqDptmk9rnvOmI7XcY4nLMpx19VC1TlHGyiBllWCygVo3cOGeBOVQRNi6xAUdTY7e6gdY++P6LrG+ShnwbnDDZXVOYZGOtmcNA9aZkfQpvbh+8fcP3dN9hubymNkBWoqgWx72MntrDuWV6kcsL3IfUCgeAnFIwlPQOAGrgUxQx60Hj1D6+wud5CDz2KukpywzFNpXI1QrqWuBsidDKdjjfV3OLaxUg7pppiSiSRHUMJI8dYVz52e/Tojh2a7XnvHSBUQxtCrYwZ0AXgZ7e7xcP994GzM7blXS6vcPXsA1w8X48lh84lIw/nITMq1SyqAs3+mMim/bFHuz+i2R3RbA64//4BN69fwVqdFCGBiODURBp2VE1Bd42Dcxbae9jgrDFGJaRFUaMs5zh3eO8Tchq5CwBSEzE+ldtNMtvk1E1V/eJnTQPESMCefpd3DrpnaLYHWGsprbGaQXKOeRG6rAoBxiRJ+uKUY2adO1HKLZTCs+USxjl8fffbUx1vNfzW2gClqxN4P17oMpOkGR8iqmpRoZyXP/DI+6bD7naLw6bBl/xLLK+WuProCh//4UdYXS5PvjPmiJ1xqURlelhcrtAPGvv7PW6+vsEX//5X+OLzz7HdXMN5i8XiCWazNQBgu72ZwMXnMzxjGsE7h2FoU2mQzBQODwdsbh4wDC3m8xXuv39Ad2zBGMfyyRJPPqTOaLE2OUu9uEP9ubEYQlUCABweDjhuG4Az6t0dm5cAKVoAiKXebBuYXqNcVEnqVGYKXIwd34DIfu3R9+3ZEX/bHaD1gPn8EipUbQDEdu+aDlpTzq89HnB//y2steGwzdC2wfDdEfu9Ds/ZHTvkgRQaG4nEz9w/UOfCptmibfcY+ha7/T1McD4AoK4XRBibrdA1ET2wKGZlSkXEwYPB5r8hn/6uI6UYzGhQj/tjSqXM1jN0TR90+HX6rogOlLMyiZjEUjboqO2gU51yRDI2rzeJmR5zn2qSwx96Tet/aDH0GnmRYXG5SAQ+SqsEIqB1yLOSjED32yG/3zSWy6sE93rvk+MVa+K9dyl3rnWH/Z5IoKc5UYGimCHPczx9+gmKosbDw+vgDNk0d6FtQktEEHDRvSbk59Di7rt7AMD1919js3mNptkhUzny+QXKYgYhVULXIiTf9y2kzE5aSZ8zoqE3VidnFiBxmyzLcPftLY7HHbbbG+ihR5YXqRIg6hhcPL3C+tmaiF093T3lrPxBjj/pcuiRh1PNK3qvkp+iRM6hn2iUxK5+hAKOToEzhPw0m8N71fP3/RFlOUffH7HfkfHYHx4AxnA4PMC5yHWw2O/v4ZxNXC+A9nO1qFHUBbhgqEO5pgeVr0X9/tZRHfvQDgm9urx6gXpRE38ipk2Mhel1EGsaYA9dQiHHcu2x8oL6R5Q/aC38LoNzcrrHMzvpsqgkuKbKpRM5acZobpM057SihJkosGbT3QfQvcJl5D1oeEd3A5cCt/t9Ivcdug65UqiyLOT0GcosT83vGBvTPABVAXywXr99nmevzON4HI/jcTyOx/E4/n873uoS5UWWGvRwIRCbfEXmpwy1ic5SnmK2rJG/EXmZweDwcMD2dgvGOfEArjep/rh5QdHTtCzKDBpD2wcSl01dmwCk7li339zg1S++xXdfvQJjDC8/+B3MlyvUqzqRK26/meH25lUiz5w77m+u8fyjD1FWc7TdIUUQU0Kjcxb3968BxGYkEuxu7ObWH3tU8xLVsj4h3HhPOfqYJ9/d7dBsDqmMK8G3xqA/toloJ4WCDdHVcn2BxZNFamLDhQgsWvruvCKZYcHF2XBv21IVg1KkOJfY1YNOZX7D0MFYHciFFs1hg83mOqELWZajLBeoqjnm80tU8xJXH12FFs8WhweK0LqmS9K8Xddgu71B31N+sCxnqCpChSLfoJrNoTKZiI4qz1KqZDo4p3x4jMLOGS7kR1motzeBn3B4OGDz+gHGWGxvtlC5wtANOOwonTJbLHH5ghrVlIsKUookQ5yV5LEPHUH1kaDZ7I7ojz26psNxf6Q/NwP00MNNytEicU7KDNYa5FkJoy3qVT0RDxq7Faosfy9+S10vA9SrTyRqhaAaaXgiQbXdAcd2D6MHdH2DYSKYkucl5vM1ynKB2WwFKccWyW17SB3VYsllqhAaDJptg+3NFvv7fZJd1brHxcVL/OhHf4KLZxeYXy4iPzat3cM1nfu23SPPK1xefnDWvONYrZ6iqubgnJMCXNjPRVFj6Hs8bF5jv7/DMJBKXHPcQggJxvjYF97ohAQVM3pP/bEPyMbIw+mbjkpz2wHdoYX3QDkvcf/9fWp8BSCV/8Z7J6odeuFTGmCMeikitdalM/auw3mbxHGMtjBBvna1egrvPWazFapqieXyCbIiT3C+EKPC5NBryChvHHhK+/t9ImFPtUhI3IfK2RYXc1SLmsS9tEmE5ChQ5pxD3xCpczhEfREJGTQkAErRxdTJNF3wriPPow6LOlFTdNYDbNJoJ6TkpjozUyLgFKUNf5z4OtNW0/FencqsH7cN2t0R2wciN9bLGnWeY14UqPIMhcpwOZthUZapbH6aXmSMYVGWCf7/TePtdfyxDtqYkzwn59SKNC6CkMQiVcFRiN3H4qBWm1TnvL/fYwitfttDh4fvCcqTGTE761VNHd5slKr0MMag3RHhaHezxf7hgNtXt2g2DWazBT747GNcvrgIkDTDISxYVubI8jKoj51fz7vZvMaT58+pbInxBHUabTC0MacUUhOOxD2k9Dged+DXEcoziYk+bcUb1f3iC1O5QjEr0e5bbB/uQ0lVC637k37ydb1AWS5QljMYY3DcHVHOy1DWJROPIL6nsq5g7ersLm3GDKjrFUFmUiTS2NANMEajms0xWyyh+wFNs8dud4vNw2scmjGfXpYzSJmjbWktsuIFGfNZmeBcALh7dYfN/R1Bi/t77HZ3cI7SNk+efIjVipT3lldLVIsaQtLhb3fHwKoe0DWnHJB0EDhHXp4v25plRSIpWm1O5m+tQ9vusdlcQ+supSK07rHf32O/pTVYri+wvFqiqHOoPEuld/FCjCPuA1Kd7LHb3aHrGmjdYxjaBNV771GWMxRFnRjNxz1d7NW8TKxpgAiDUmao6yXadtw/7zLKYgbnHTiX8P5Umz61LfUeh8MGx+MObXtA02zAuUiG7+XL30FVLbHb3WG7ucZicRm0/S3a4z59JvV8JyjVW+J/PLx+wO13r3Fstgm+ns8vkGWhvn53hInlpqH1K5Vz0vvqWnLSZ7M11JktiQHgpz/9z6GUwnfffQFjBlQ1OZ5VOcex3eHh4XswxlGWc3oHxx05Ac6iC0xyrXs0xy0uNi+wuFxh8WQRStyoFDQGIkOvMXR6rFoIjk8kf8Y0hioUiqqAKlQq45wtZygw8gBGzQMLKQWKusD29jx+ix564ls4A6WKVMkUiZ11Pcfy6QrLq2VyRmL/jpi2tKGPijMW2hEBMkr1RjJmfF6VZyGolKluPir/WR7lmllKAyGUAzPG0DbHk1QgrTtpUDDGIMX56V2hBKp5ldRKp8p9/bFPqW3dD4nYGEc06DEVAIzSxknciI0ibORghfLAXqdAoJxX2D8cSM4XwPr5Gu28RL+oMdMFMtknTtysKKAET5oFUoxOZf4W7Za3Gv79/R6ccxR1EfLs4yJEDzN6tVKJ5KWJSpzIhBZ1kX5f5Qpd05HymLFoQr40EtOAqLvPUz/0oR2Skdjf73H37S26htq2Li4XWD1bQQUREz3oUffekdfXdU1qLnLO4FymC9p5d7LBGGOYLeeYYQ5rLLpji+NxGzxtjaEPzGBdYAiHevp3izpPNbAAcSFi+Zj3Ll38UkisVk8nGuglGDjyqoTKFLG3j+RIDUy/wS5FiHhrGL06a+7xHSs1MvoBQhFy5ETWqQtsrjfY7wOBjDFkWZku9bKYQQqSTa2qJeX8gpNotUm1v0VdQO0y7Pd3yFSO588/g3cW+8MDvv76Z7i//x4AcLF5jo8++zGWV4tw6Wfwk/ygmLBwoyaCVPKkfOZdx2r1FOWsxNBStBEjLUI8zIl2+n5/n6RthVDQITI3hpCqKtT8C0FNiFSewQs/9r4IkW5/7NEe92iaDQ6HDYahCwJKtE55XiaiXTxPxmoc9weqY6/yNFXGGJRSmM3WKWf9riPL6bxKGRndscTMJvRMcJmInJxzyoU7m/bpj370J3j5ow/xq5/9HNfXX2K3vw+OIAnrRASqH1qoPEO9mlEDphDpxzWNe2+/v8fxuIPWPbrugMXiCcpyjiwr8eTJS1Sz+VgxIygKhPdomvOJrZuH12i7A25vv0HfHxNnKMsLHA5beO+xXj/F5eVL1IsaXdPj7vYVDkHwByDUYRhaNM0Gs80FLh5eYHW1xsWLi5H4htCs6dih27dodsfQHGufeBQsEOmyrMByfYn5epYqh+LLJkdSjMQ/76GKDPOLObY3Z86fsYBeCBRFlRot5XmF+Wqeyu+A4FxmMgiqFUmfoTu02N7sMPSaUIlJ5Es2I0bRLjH+meAnkrxDN6TzEe/zaGjLWZFKJfumIw7akc7Ffn9P+g2MvVcppwpliVFTP5VpDxrtgRC5PvRsYIy4GkMXe6eQ/XLOT6R6eVDbFCcS9ACSQmusxiHelEfXdGi2DR6+p+q02XqGrCQ+z8XzNVbP1uCMIZfhDCqVhJAAvDXSj+OtK/Pq81e4//YOiycLLK9WibH6Zu/0oQ1wayCrxRrquAhA0Lk2NjGfu1C2FUdW5tBDCWscylmJ+cUcQohErIpaxnff3qLZNcjLAuWsAOcslfgM7YDu2CXPyRjq/tQ0u/cy/PPZGvWqxmJxibY9oAolillJYhMqJ3W9u+vXaJpNcDC6VEsKAMf2EnW9QrtvMVvPMFvNIBX16XbdkDb7YdPguGsSUbIo6HtnsyXyKh/r6DOV0JShHdA1HaVGgvLVVBXNBa38vMrRdWOXrXcZWg/JUZOZhLIhQsvpYHjr8NXff4Uvv/wPOBwe0PdHzOcXKIo6CWpcXX2ExfJilDGt8kR0JIiajIQIzSyynAxX2x5QVTMcA3EwGr6f/+x/xzff/ByffvpTfPDZx6SUJ8ibtpb0w5N6GWfgnog65/YkB4D5epHKqXSvk1PKOMd8vUC9mNEBbbbouwZd36BtdUJpAKAfOhyPO5TlDGW5wPJyBRXYwgCSR7+52WB7uyGluMMmERytNUH8hlIHdb2iKIaNXRf7/ogegDYlnPNprpyTPDTVzz87a+4MHFmeI/ZgV8EBGHSfDHFVzVNUY63BbLbG8bjH5SU1RFo/IXLrbLaEMS/QHDZQqoBSWUI9ACIKqkKhmpejQqE1EEJCBYQAAI7HLXa7W7TtAWU5w0cf/SG07vHLX/41bm6+wocf/j7qEJmT8FQGrYeUHjln/PrLv0VdLWGtwdB3qWogBhHL5RVms3UoOXPI8xyr9TPUsxV2gQyndQdjNNrjHq+2n4f5/ylefPYcs2WdSHp60Dg8HLC72+JweMDxuE916ScERe8xdD2GLk9iWNGIyoyqiORELTUanFhd9K6j6w6o6xWUykJzMvp+GRpjEXpbJOGyvAql2dpABnMS76iu6eAzBXgqARyVG1MHHCpvDATEoRvQdwOqeYXP/6+f4Ztvfg6AKgpubr/Bp5/+CT755I/x5IMrZLkiQmSmoAqVUsEx6NC6h7PnlbECRMxNPTSchw7l5u2hRbM5JG0V6inSBeeeqpUiqmqtJsQwr1AUJPLEjUVUBIw2MfZdiBVw6Bi6Y4PjscfhsE17n38lqMJsOcfly0t88pOPqf+JEKjyDB4yNcVTgiflx7cZ97ca/uefPSdmeK9x89V1gjWiJzNVBOOS8jXN7ggbZGZpEUis5e7VHba32xR9eE8s1thKMy9qLC6WmK1mWFwuCNqqKVq++/YWv/67LwDQBVAUNVjHsbt3MMMDmmYTmoco9F2TPF+lMiiZwVqdFMXOHUNLzHajh7FUp1ChZtzi9atv8Oqbz8EFwaKcC5TFDJuQmxyGFpvNNdR1gcvLF/jRT36MeknqU/ff3uPma/q9+9trtO0eeujQ9y36/ghtBlTVPAmSANRmdnmxTlED5WIJIlW5QjkrT4x/VmTwmUTXnFfTOgwtlMoDM5cnxyMrMjjn8Ku/+wd8+eXfoihqfPLJT3B9/RWM0cjzAovFhwCADz79BIwzzC/m6JoejAFFVVBtuzYpJZEVGdbPL7B4Qhf34eGA9bM1NjcbfP9vf4Wb228AAF1/RFUv8etf/984HB7w+3/6U8wvQslOKMOJI3JIotrduSNKFscLdvrZUgq0hw6bzXUyRn3XpEqILLQyLfIaXXeAEAqzeok8z1HOS1y8vIDVNjmzm5sH3NyQ/kS8SCIkrnWP+wdCPIqixnx+gYv1c+SLJxAc6bJ/c0QIlozseU4fEBoeSYWqGuuhu+4ArXt471BVS3IIQoQY03MRXrXG4rhrURQVLi5eYL1+DucMDnuKYmIkmWUFlbxyHrT8gSzL8PzlJ6iXVYoW28OPMJ9f4ubma6xWz/DZT34Xu7sdNpvrULLYJiOVKQoIIuv73NG2h6RVkGUlLi7ImZmt52ltdrtb3Nx8jeNxGxwaKl1crZ4CAFarZzBmQFnO8fDwPZyn6pP18wvasxtKCQhJwU3ft6EBEMd8foGnzz/E5QeXY7vuVKM/dnsjvpNDURVJFpaeDyBVZYZqft65J8TSgHNBpZgVnft4H3POSZsgqIGWc0rbdU2XUsEm9BmJzjIXbCxl8z6VGca/1x7aAKFTNUD9QYXZaoHmc0IrPDw++eSPcHX1Eayl0lcfmvtwEcpAg/OQ5xWaZktzeJ+IP1ehlXgoQQ7pi6EdyOgf+9RKmRDmHv3QhnMbI34S6uFMQAgF1vLEN5IqR9RdygqFodOkVHhsCOUdelhnRz4NgMP+Af3QoqoW2D18QghPplBlOZ4vl1Biot4ZBJgo1fGeTXqqeYV6WaFvB8rfBIhi6DQOmwNMr1O53+HhQJux7XF4OKSoe3e/xXZ3Qwf0sEE9W6Eq58hyKjWKuQkhiSRFtbuH1LnJDAab6y2ur3+dXuxstobWHdpWo2sPuL75CtvtDebzC1TVMl28FxcvUc5nRLh7D+lObQbs7/fIyxyLxZMETecldShrNgdImeHpsx/hyZMXOBx2+NWv/gbWaKxCR7hnzz8lvflQcicVQVUIUc9UdEQIBZ5z5EUNISS+++6X6PsWu91dWqeqXkK+Uri6+gjrJ08n6nAuiQmNSA9PLUtPdADeYQghUdfLUY1rOZZG7e+JPPV7v/uf4PLFFcpFifLzBTab1xRhXtLlVy6qlLvjfEiebXto0XfDiThJXlLpJF0YGnog1bCrpx8nko5UOT757Pdw2B5IFOZ2i6IusHyyTMS5iCKRaBHVT7+P4Y8OlA8KatN0x2FzwBe//Fvc3HyNul5RLbEhMtMJkZAxDH0LlVHDkNl6jvWzNVZXKxx3TSoXFEJSgxtJREQhFGazJfq+xbev/gGvvv0FAGoVW5Zz3N29wmr5FC9e/hiLxZPkjEWEBhjbChtt0DbnETs9XNKeoC5tQTM9iGFZq6FkhqpeQoQOelHEaCo25KyHVhQpOuew324wpHrrUHdcVJBKhhynTQpw9WqGF58+H/Oh1uLqoyvs7/9oLHtb1PjjP//n2Fzf49Bs0nOqLKcgZcAJ4fBdh5QKRVEHw1+M+3lGBrbrSBiprhcB4TLoQ3vi589/RPOalTjujpSLn61hrcbF84vg9I+taetFhfXzC4Ax3HxrsL35Evf330HrHkIJXL6kdrPLqyXqZU2yyLsjDg97tIcuyepywZPhB0aBqMXl4r3mnwf9jjhIWZDj9ptbdMcOxvT4+c//T5q/0bi4fIkf/8EfARgltNtDS/XvQdEwSjAfd8RZMcH5PTyQHkjf9zjuW7SHFpwz/PTP/7OwRjXKRQndUUrZe2B/v4MeTJIOTwJjQkHJDI2zJ5ou7zoiR40HBDWW7KlCYS7myMsc7aHD4WGfnEopFfq+xcMDkbyPzRZCKtT1CsvlFRaLS1xcPcVsPQ/aAHTuy3mFzesHfP/NV7i7/RbGaiiVJ6QgIp19f0Q/tCjLGer5AoeHAz7/y88xdAO1vBccq4ru5yjjG8v8fus7ftsi2NBSVmUK2aTDl9EWq6eUM+6PPe6+vUsR59AOuHtNpCcAuLv7Li2Q8w4vX/4upJTo+xacCyzXtLEXlwuoTKJaUrMdIUX6jpuvb1K+McsKVPMas/UzWGPxxc9+nhTB4u/Ew55lJClJsqbnk3ycs2ibIxYXSyzzNYpZbDlaBM19j4/LTymSrQscNk2qU47zWj1dpQYuRpMKosozDF0PlclU73/xfJ068nnviawlJL766hP4jeoAACAASURBVO/gvcfV048AAPVshfu777Db36OerVDOClTzClxyks/MVLoYmSeZSTNp7/mu4+rqI6zXz5GXFPXHNEd/7OBXNS6e/2FgjktiIs9KWP0Z1ZO7KGxTICvzVIkR2cxRejWOKHIhlSQ1wlA/u7xa4o//xZ8loQzGGNbP1jCaCFDWkCKaDU1zAKRUiVACzDBo937NSogdS2mIfJIqaA8dvvn1L9E0O3zyyR/jxYcf47A94Be/+CvsdneYzy/w4sVnAEgAKnV0y0ssr4jgFZW/IopAqMWHeP7yRxSlajJy3ntCE0I+XEiFp08/gZQZttsb3N29Ikd4PYPKJBGlot6GGzsZnlvRYYyBEIYMWn+cCC2ZkGIwwdGxKZUSWzVP5YplxqAKuhOaXQNqd6tg7XghUYqPdDkYo06fs/UcOjiGEWkyg4aQEtWyCq2KKQ4Rino8XH91k5CuvMygB4O+7c5WLQQQSGyr0J42T84vlwKzJYlVrS4vEvcj1tPXiwqrZ2P9dJR5zV5RvjiiUzb0zwDI0Dz58AnqJTlAXd/g+++/wBe/+nd49epzrFaUprm6+giriyd48uETPP34Ka4+uiLDH5raqCCjHUd8D1Fc7F1HvLf5RO4cIAfyF//+73Fz8xXKcpFSkd77YOCeYHdHqCrnDMWsxMPNLTmKxmJ+OYrpRGcukuSKWYnFkwVJWTOGvC6wuJifNOgyhmTMrbbUOXNWIg/CSLEygL6cUJ7d/v690rsqcBLiHRqfQQZiojWENHTdEV1H932WlcTGD0JpTbMJKaZNQM3mQWuFUjIRRXn68VNIJfHNL75CXtTIvYOQClKQeFYMYJ88+RDPnv4IH/7+x/i9//j3sH5GdlGosSfOtBturOsX72v4pZKw1gaYIksMRyFtiixlJtFsD7h7dYvGeWRFhrqeY/3iEwDAh91n+Ov/43/FdnuLi4sXePHxBxCKvEF4nwzf+vkF5YS8x3HboKhyzNYzlEWOh0+f4eI/ENx2bHcQUuDFZy+Qlxmuv/4OAPDpp3+K3/vJn0NIgdffvAIAFFWJYlaiLGcp73rO8J7Y2zNLLVcj0S8rM/iJwIo1ZHzyoDM/NbIEE4emNh1LokBGG2RFlg6ryhWySHxse2RFjh//0e/j6YuXcM7jIpSIZUWG++/uSde+osgmqtfFBhiprMSObS+FOK+ka716htlyBiF5yusBBE2W8yrNWyhqGlTUtEmjOh9AG3NoBxz3ZDxUyP351KwowpehxafkqOZVgqnL+akwj7fUj0D3GouLefp33Q+YrerUnAQgVOL/Ye+9miU5sjPBz91DZqS4uhQassFmD/XMrNnu6/7vNduXtd0ZznDYs2QTbDTABgqlrkwdysU+nHM8IguN6sraR8LNYCgU7s0M4eKIT9h+MHb5kJEVOaoFAU13rCC3X+9x+egj/If//HdYXCxQTkvsllsUkxKb1RJlOcXlL6jaU1R5rHI0uwbVYoq0oHkjwj70PRlOr06wuDqJqGHBUvz6r/8zPvroVwBorZ09PoN3Hvv1DvWW1otlSeRqXkWE9261Y0vU4zMf53p4l8HaLlLWAHKNy/OSKhyswpemaawEmsRgjIIm0RKiYUnffRzAA4jJgqCfTWKwuFhgebPE9mETM1aSsnZINanxSdkYTI1dXMxHwEbEcuyHOLQ5Z+G9hfdCFWNkfUYgtunpDEqRsIznw8AkA3AT4MBTKdy9uEPX9pgxQMv1Du2o0kf4FhP91yezEo9ffYrl/S36vo0VJKMT3Lx5gfXyAaubFc6fnmFxsUCSFXCZ4z1maAuMqX3HDAXFwFDC20ggvV4+QEHhl7/8OyyuTuhZsHBWCGRMlnLwvVvt0NYkxdt3LXarHdKMPD68C/Ez9+s9+TTwYUiCbaKEmQwBpx8cTm03oN9l7zyQtU4SSvi4TXPsiBUK8dMIIp5F69J7j+pkSsEpK262+xZ1rWKbR1pOWmlMZ6ekHpsOtFUJUNMixcmjE5w/vuJnrxHgSQyKnxdA1aOLZ+f49C8/w6+//AQfnZ+jTFN4BvbNigGAPc7yx0qPP7rPdz0EWciGI1rJJkxqSI6zzChD9R4b5osKF/PsMUW+SZbi5GqBF79/SZnjoop0NqWGiEqi/c39BjoxuPjoErNqgllR4MkXT/Hlf6LN7/q7a5jEYH23xux0ik9+/TlOLs4xO59hfj4n7/rNoA0wmU0wKecfBPIROlOaZ0i5nCrXKop+Jk2gk4AUpCAmWtyiYhUCBUME5ED0rQ+BjYei3wPp9CfsK19UOWZnz3hj7+MB4v2gc2+ZZkY88YxZAQ59x+ART0Y2wYejFezyoqJ3PDLlAOiQFu8A7z20V3A9mzhp2vwi2tgFOGsHt0Bx7wuBDX1oAedlHg8KUfsS6oye6YitkJZGLJGnCfJJTllVIaVTWnQCHn1bR/t9hziPTeYlTDLQU8tpifNn57Hq09VUofjl3/2SSm+c7dB9ZcjLnHzdmcfsrYu6BXJI5pMc3pJK5ux0SiwNLt0++/JZRKtLJUipwaeeDvge5Yz4x9LWCN5z1ny8cpu1PWzSQ1sDY/pYciTd/hzVxKDr2+gNT4Gvh7IOXg2qZALmBYiulyQ50iSDMQazGVXEBD0th5ZONPk7tIRhEQAksWCSgfvN899y1p2MWEQROOj9Byl2yjxTSmFxeo75xZyvoUDJPXPSFnFUts8109UGpcgQAurNHssbotNViykxn7pD2XOheEpp+ewpfV+9fQytFSY8n5VWsF2P4AM2y23sky8uqAWQT/J437J25M/HDgF1KkUqiDLOLh/h5IrYOXlVRHpe3/bx+uU5be43pKkPqpwaATSzCx0wmFj1DR2g1K5jjEAymFGJvsMQCND5Ie52Y4tzUZosJzOs17dH37tjEJ6SRElaCAmdeeW0jD4rfdtF/YXtkmSFAaDruhiUlpXoAiQjpT/6aO885udzPP3lUwKptz0HQykzgSiZmp7O8OzLZ/jVLz/G5XyOMk2RGgPr/UGmH98f/9mHgJ/a9f8k+iFqtHsPzXS+NEtIVGBaouNe/NMvnqLvKLJdXCziga6Nwhd/90s8/vwJ9XZZbzwUIR6g8sDBG//pI6K9VHmOLEkwX0zx0Z8RYEy03BHI352Q8hVMQr0eTIHzJ7SpJFmCxeUCZ48v0LTHyZbKoCBFR2ALQC8sSQ00Tz6AyoBiwuNEQlP+njd7cnfy7K7nfiSvS8+L+b1NR5mhoUBBSoNJmiCdUnbveodyWkZ0e7MT9zL6TNcPi+xd/Z4/NspyGtH28hwADGIrYfCbNildj/BeJevsdvvI5hArZ4CQ8WLVyxfHFsIOaU79fm0M61j3B9nLWC4aoMAxzRLWe3CjDTWNyN9j710GBaNEGRWgUtf20YZUtBdc71AtprSJMT4BIAEskybQ3Iv0zqNreyjNwZMcUMy+AGi+pAX1zOfn84NSrRd+M2ezXdMhzdKokdGP2C/xGVt3tFmJOLP5ZPCZACgbTJIEKs2jVK4EROPyNYA4FwTjQVamFmmfI00LnFwSkDMrSSCKmDIkySqHVV7mB7LG+QRQWYrg2eKaDx1qAwxthr4LMdv5UJOe3W7Fglw6voPJnA5YoWSR056HNpzFKXUQpK1v17h/c4OyomxfaU3ys90wp/Myh+ESMNG9PJzN43wSzEZWZrGVZ3sSRWv2Dc1Ddnbz3WAJ3DUdgg8HzKn3GY7bMVqT++g4iKWKGpXqdUKYDJNS5SqMNEnEKdU5us+qmkX9gbTIooyw7CWKue35JMecq2jAIGusteb2IGHIdGLQNz3auoV3XaR+A0DSMcg0SX8y233XEI0BQuCbIdkbmW+N9xPZ98aZvNrs4a1HPskxmU8ObNvJs4T2krZucXJ1gqe/fAqARNzEbr5vu+hp4L1Hs2vx4u4+uvOV7J+SjCpswFDy9+HduK6fJXt/Hj+Pn8fP4+fx8/h3NN6Z8QfuRam3ombFspNVnmMxmSBjlOr2YUMmM5M8SvcaQyI1JqF/S09WRA9in5MduvKKSkVKK/r8skTvLHbPKIt/eH2P5fWKsuGUOOrFpGDf+RZJlkQ+sNLUPqhOKrhvjwf5hODR95YylTwdgFMQRbg8otBtZ8kf3Wgoncb7MsagrSkTl5JU33bUEgiDlLDSCtqQsI+I+fRND1WqA+6+gDe00TGjBDBUHswQjQ5c6XAApnufkSTJ4PM+/vuMHOb6poezNmaE4j5o2QYYQGx3GENANsOlvcCug1IZsJ1lBbaEqSjU67eWOL7RGa+jbEKsh0MYjHTGrRW5d+/DB5W66XMGI5QkG0r9wusnBDr1fFVGZeeuIaEp+c6c20N9S3Ndrts7FxHZ8plpOlTTSP6UNBqMYRYIPX1maHTYrWryOp/kkWbmXRhxpUksBFrFfvr7jr7voHWCLC9AvufMD+d3rMDl1GmJYpJTWZTbN2Pp0KzM4trvm47EXFxFwKzJIegszTOepyTI1HeW8DncN7Zc1jUpvVNpH4nIl+1trAYN1tc6YgqOGU2zw3b7AGMSbNcr7DeEQyqmJZxUr4xhYywfrXTHc7rdt7h//QClFObnc8bhpHytLr6nyMgBSfWOZX4JXc7lYa6geE+ZZLWo0DfUbni7opVkCdq6hbMW9eY4YKdSiqiMxaA0CfDcStUgONZbBEP772RWxvsCQLTtzsKYFCeXp5ieTiPtNMkSmM7EP1OFwwO8zyIETOYTKuWPXEa99+i7nvAQE2pFOEfgUhHyAajFR1U+jfwDevya9Qm01lAasco9fj7OOfQNVexc76LJkFxvmqVIZymq+YTa4WwZLSBEATfazmJeTXD2xRQmMbj+/hrrSY6UGXJR0nu5w8vfv0C7b5H8R4OL2Qw+BCRaxwx/PCTbf1fG/86Dv2s6kgH1HmBLRABRaWiXZ1hMJjipKuTPUtyVGeptDZMmmLBMamIM+jSJ6O5237KEY0s65iPwFvVISXQlL3NSJkKAgsJ8Sv2Tk0enEdQkC5DcveiA9C7Efm8+KQjtaswHlXuV0oRs3g9cTgBRzVDKlOJD7pyL5U/piZME5zaiOgXcJgGQlBGlDUAOXkDXtGRzynSo2Gbg3qMxOqrgycQaI3ABEYg4vsxP3yOf5RgkJ/gGkpmUQ1+Q5N76uPlKwEAqjUT3Ei+GrCQsQsKgQIAAO1mZRflV4tEqJEgQTIigyrF2ue2onRIRwrxQpDTsRrKZWh9//9Lrkw0r2nNmCfqOAj1rKchxjnTYu4ZEjxasR1DNJ9hv6kjbNImJQaq1NmJR+pbAfJ6lSKW3V29qbO43A76COd+ODxhycZxGIRDhD9P9jzQ2jix3U3Ameu829mrTNEMICZKMsAvFJEdW5rFUq3VAYDCUqFKmOYH/lNGYnc0wv1xEkJfcO4BB1CihtaMNtQkkQCBp5p77+SzvaigAcIyriSVUVgUlTMLxPX4BL4p89OqWDn5tNMpZGd+H7C3aUPtFnCsBwl6cPjrBF3/7BQneJJQsSetKkgjvA0Jn4TJaEyK4451HSEL0fSexHmrdhYRwO0orVlUN0clUfpakccPRaz9JBvrmuM0zPBvPyYcegktQa61j23bXO8JqZBNU8wmKSREZDmMVP2rvsQKsDxH/srpZoTqphnmvDZQiwJsxBvW2xup2RUEIryuZJ2U3IdBv32C7fTjq3gE628CHtNwvXQMFAuSx4Ri46g7cNOM+xXgPkSDWxozeh4vXOj+f4+nJCYosRecc6m0dga7U1hwUC4spybI762E0cfQzY+BDQGst0lEgKb/zwXS+ZtewUUlJh08ErtDGWzct8jRFledkIXi2wFL85vmBZUmCaVHAcZZHGRtRXyaLKm7kXd1FIFY5KzEpcnQ8mY3W0YxgcbHA9mHLPaShHzP+t0Sl1aIigMxigqsnH/3Jl/7HhghWOOsGLWrrolczAdbyCPaQ35FgSzYDpRUy9ljv2w6eqZLycwRg6eFshnJKmtyEJUgiXUiGoKRFttP1Fh33OvtuANOR7ztR3o49/Oggoey23tSxxyXPVg79oRJB951NB6BNs2viZkx9UDOK/FOkOV1n3/bYr3aUoTGtSWkNowbUtnznmFfrLUXegh5v9kM/M4QQDwXvfzry/akhmg1vH0xyoNWbfXzmAC38LE8xO5ujOqEgtd7Wcc7ItQvXXWs9yAD3YmtKlKW8zHFytUDf0X/LJNHGUA9SqZgNZgyOc73DbrmL0ta2pwBBaw2HI5HdDB4kMxIXKXHWqqiHIRlMwlUsAfpF7AXbmsrmXZ1Mo95AV3cRi0BBJIG+kixFmiXos5SC+YStjAFMihytIfti4VdLoClMGDuyeZbxIT1+GbZvUdfbATfBB+r0pKK5zxkviTzRQdxsBzDcsy8/wtnTMyyvlwNOZbSZy7+V4koSVxaTxKDZtwfBG+CiMqfqLc2BjPaItm4pCBaTnKajNW9URNq/7zCGUPGS9UogYoyOgDfR0g+BQH1rfj57Bhza3iJJqBomlQulCB8z1r/vhQefJQxKpn1st94RZS+qlSaxYixy7lJ105qAeEO2nbCoURWVHI+6/zQBGEcjFRZg2HMPmEhGxSAVrCMCIFpwS3VT87qXvWp6QhW6zz57hmdnZ3De4xdnZ9C/Jh+Tuxd30EZFRksIIYJJ9+sdbtYbnM8AmySw3iE1SbTwzRKDRP/pRPedB/92uYtuXwLEkCGLrncOznvkSYJpkaPte2w3e9S8+Nq6JYMFRyUR4lznKKcFThYzdHaY3N46dC0JtyRcFi442235507O5qgf72PGLFQxOZBMapAJBWaExJaM7ZghgUhd7yJ6GKCgp5jkRDljlCcQuDpCwhkSCTbbmkp7b4nASMQ+/i45aIVNMeavjw9+zcAtgGhLfWfJo52VpfpRCVnoRhGl+p5jubxGtaiYKx9ihqKUIvSyofKmANN0YlBkJE7R7EaGNj35SwuAzyQaXeMZ7DgEbl3TRXOlyaxEzrr+klEBAqRRkaVA+vZbAvX5wIHUcMiL+5XtP6TNQ+C57WoXW08Au8mxkmExLeEZ3CWVjzRL47uvNzUrFBouOycjSuwASHJsOKONJl8HBjCNaZoAopaCZE1C3YyqYnUbDx7iSBP1yX2AdGkI7DnRt5HTrUc+AQBn4U1PFEUufY9bdznTQKXK4b3HnqleckiJSNd+U2OyoOdYLRTtPb2DzzhoYQbHuB0gMt1t3cZnIPduUkMtpg9QbxOTl2p6gjTNo0lSsjKxrVVUtM4FWOd6Au1JkNA2Har5JB6SZ49PSeK7d/Cujc/QWaqQSasAADMFuLLH6y74EN09w4i+Jv9PKLIAZ6mK1mY4MuhNEtIuSLjaIvuqqMFpo+AdV+T4fYsCX2QsOKL5CqBPvATelhSPLZls1ApkBH8wHns+dKt5RUp6noIcAlC7yAgBBlC0SROAK2/HtrgATtq8h+sDLCc/Mrx2MVBzlp6xMgqpVrQ38TqVa5F9R2kCCjpDVVJp3Z1V5LqXGoPz6RR/9uQJ3jx7ht+9eoVN00SOfmIMbjcbrG/XtOeEgK7vkWgN6xRSM6zJ3nkk2vxJvf53rop6s48LdNyLkl69Z2ehdtrjdFqh4OzfcisAAJeIh1LxZDZBWZG9YAjAvmaltYayVXE/cz6gtxZNR1GlZPyzosDufI7Nwxb7NdDVbbR8TLMU5bSIm0+9rrFdbfHNP36Df/2Xv3/3G/8jgyI8NhWp27gwg/dcwqVnkpc5sjyliasR+7oAYg8uYYETJ8YM4bAETShhLqtbh7RIkSWk+DeWpIRIkTYulni7ZpCTFMYAwJxX1hiQRfa+Y7W8Jo33MJTaAcBbT+VObqeYxECNMnLvQjz4tDGoTqaEuuZAAUDMbGUIitexDGebGqYLJYzM1vG7vPewHO3LRiOYCNv1sc9IsqFdRH4fO7qWKIu12WOZJHEDmJ3NqB3B7RZIJSRPYZRGbx2aDR2+fdNReU8jinfIRq7NkA37UW+c/C5I5TArMmRFfgBO1lrDw0cHtO3DFtuHDdm+1m00LJJK04dQGSXglX+GrMcCyOPhJ7gOz+qGIuQD0AacpAlKLlFKlW6/2qEdzVGADur9Zk+0YTMo/TWrQQZWqS7y3dM8RVjt4mfQO+7ivBseloqmRscM4f8vFpeYTGZRCGaz8QBjcUxCLcm+6aO8c8ueJQAFqZuHLdqmw+VHl9GoJVK5OKHyoOoFUdQGdLiY7gwHvOfWXxIpvu1+UDUksSZmFDgf55RJjgv4qb1Fmi3ltIhBpwTpJk2QZBSkGJa2lX1oTBmW9eEdMQxMYkiNc5QAyX1oo8ilkbFA8s7HeJ0kIS2U4AOCIfqu0iR21bdd3N+GakSIgeoxY3O/hvdTVBxkjymFoi8i7yii9d9aY4qFv7RWsL2LVMw0p/U/YRXUKfPvsySBDwFaEa7tk4sLfHd7ix9ekBKg7V1ca0WeQSsW6NGUIJN6Hz17owcBH6mW/7HxzicjJjT79e4gwhQu7c5Sj6OtW1hrUU1KlCwoMOYSAgBYgnVSlTifTpElCR52O/TcF9o+bMnqkCfSrh4OhtPpNJYyWmthUhI3CLMS5YysbOXAtL0D+FDZLjdY3axwd/MKu91x9pTxASUJaYw/bGO5F0AsqUrfKWUgjGyEdtR7lkmTJNT7GYvsdI20D3wsacXoWmsEfZjFBufR8TMnDYUQN512T+XOCJobba5HZ318L5Q1+2iCUW9rzro9qpM0XpPmQ7ndt9iz46L3A8c2KzPML+aYzCs4O2gRAHSY9m2HekutJW/p+UkvbHz/okQoGZ6ACV3P/uH83KOH94g3fMwIzqNuaqJemZGGRWJIdnWEsQgBSE0SD0nBGew3pClRTslJcTIr6f57y9kU3Z8oNja7JvJ9y2nJbQEMLTYfoBPqr/ZNiHiZtm5jW2AsWTzgYI4n79DGncCYoUpBbnGaed7qRxWrNEsjn76clgTqyhLsljss3zxgfbfmYASxNCv+9GJLa9IkJhb1Zh+lohNWfdRaIRgyoJF1QodgGwFz8CH2OD+Exy8a6VGEiP1EvPfI9gXqLGXlODp0BGyYlxk++hW1FKtFhd1qh839Gim3SZttzXTOQ9yN6y22yy1mpwTyMkYDzJF/+1CJwN+2i/r3joGlLWOQWl4X0k48Zjjbw7k+yuuqMOwhSSY2vBpIB3xOBKnaITiQKmC9bdAzVkz2PhlaK7RszFNMCAM0XUwJ5zS676zIqC2cGnRcYcrKDM2uxXa5pUrfODOXROkDgt56Sy2Gt8HCiHNhqLgGH6BYU4K6YwMQM4Qwoi2q2LLSxsT1mBqDRGs4T63x1lr85vvv8f33r9DsW9yzZX1XU+A0mU/IFTXLMC9LVHmOxBhoRQc+ACTawHn/Tp1+4E9p9S8maDY1TSi1iyXXJE2If5pQZiUc9XbSYnY6HXr+AMoso5tjH+9FOUGV59g2DVa7PR745tqaDRrmE+RFRmUzzjSKkTjHuh42uuB9RAi73rE5UBLftzYGza7Ffr/6oHInQOXNrmuwvLtDNaOeSzktqb/MmWecHFoBzPGVSFF6zEox22FCWs+eRX4EpyAZqwhFjFHPB5uED7HtIL1Rz6U+QbqP/a4lUjwW5KO1Jq95n8XsEgDgQ6zmZE0fy9uK+8z1tsb6lqQ7RelKFMm2y12s6gjCHyAgVGBetnhTS7ZiDqoNLqqlyUEhsp8yYuYsVQitDsqLxwzJxLq6w5YFqsB9u6wgUSc5WEMI6J1jzi0dvvev7wld3bsI2KvKArXpYmYsw1l6djVnTtWCbGq11gBvqOMNpe96rG5XZBNad2h3DR0E/YCEFjbFsVm/ZEvjQx8AkjRDkqRsIBLiwSRgNZOYmClNT2cwqcHqeon71w/YPmyx3+zpvbLrJgB4OHjL796T4EgEggXELL6cUa8YWiHYEDNKYfbkdRsVI73XUXhMvueY4b1D2zXoupowMuAgvd0jSRLkTRGBhmmW0vvhateWzXekBaPNADyTqtF4fVvm3EvwUlQFwOj/t502BUwm5W75ewkEIgh5tC+ND9r3GVleIuHsO/gwJG4ATMosJKUGq2ZrobRCykkNQIFsu2/JgGdTIysyFFmCtGCBnn5UPUgS1Ls9KRryfV34C1SLKlYaFbdBVE4YEMdAaOmhj1t5rqd2cdd1H8TjV2oQTaJ7E9YVtQCC9+SAxGPYb4avc12HerOPyRwF/gm6lrBIW1YBXe33eHxyEjN2HzzqrsNv/+/fYrvcDfeviFFiUhKu25+e4Go+R54kyNM0HvoA4DjJfFe2D/yJgz8vMnhLoiPtqDRLUb+CSQhROp6EJiFzjimj+rVSKLMsmgakSYJd2+LlconX377CwxtWtjqpohiNY0qLYuGGfdPGA7LZ1qi35Ffc1WQTmldFlMgU5LO8lP1mj/1+A/UB0p1938EYD+8tdrtlpAZNZhMqM9kh4nfOQ/Ghb7tBjracT3gDJyU4KIWuoUwtOB8FMtIsjYulnJbIu3xU5hxsTG1v0dbEjnBukAyVEpdJDVQ7CF/QiznepGdanUSXMqFRAYilZNqYRihkBiditNn84avf4/r6e5yfP8GXf/MXRE/jyVxva3z3z98BAJ4//wqTyQxPP/o86pZLr3R6Oh1JkcozcLEtIsIeIqQhQ/67/wCDHrofyiKCCgftAgHfEdOC3gtF/+THXW8brK5pTvdtj9nJFMpoMvZY7hBCQMoskx2blWzuNyhYn7yt29ivr7cNgYT4vnQAQoYYIAEUMEqJv2u6+PdJaiKb4OiD37uYMQM/Bs9SED3MTaWpmjU9qSIgKZ/kWN2ucPfqPmb6aZawSiPQjqxP80mO6ck0KjgClDEH72NJ3HbEYpDrGhtchfGuO7pOz3TGY0cIIcoV930TcQIhBHLObBoKOifExkgVJRt3L2/x7VdkJWtth9OTR3jy+bNYBevqlgSXGPAGAH3HYEWlvJLmggAAIABJREFU4JyPyHgp68ttEYOFDv1210Q8iwBbBcxJPztQWI+t9pTloUb+uMopeJvh+RKGIM3TuPcDlDVv7jcR61TOyoh/UmYwkrKdhUkNikkJYb3s1juYN5QVS/WIwNAeZVsOuKttjZ7nvMhcA4i02hDcBzE6bl6+xuJyjnI2oex81L6IVSpDqobylIMnMSdptTS7BrvlDpNZSSBk7wHF1EXnsVvSun/Y79F0HZBlSEJAog2+ePQI/2Va4vlXP6CcDWeDJHfeOlQnFR4t5pgXBYxW0ErDCvtA0ecYVkj9IOU+QV5neRrLl3Sn49KrixkmgKjBLhM2MXQRznuE4NG1DjfrNZ7/4RWuv7+Ok/Xs8SnRFRy5T23uNzQxEinr0eeRKtQa968footX7seLwMUMsN23aOsG/chH/JhhbQfnLGzfouvbqICm9UUs3YhF5oGKmR2oGGmWECAslmsp00+SBJPzSbTNbPeEISAQZItml6LA2F5UjFKGoMayCYv080RHYLwJSoYYwnEH4Ge/+jWuX7yK338A7LQOmiN0bQi0JveVlVk0Izm7vEJRVNhuH/Dqm1fYnc9JYXDfYnV/H92sEpOgKKawllDNp4/PsF/v0dYtyumgmBisPcA0jMFQgsCNP2uG/uCHjIjnCAQOFHyCsxm6tkfe9XAuI0oZK6Y1O3Lt2nGrY3Y2w+JiQVWAbQ3vHJZLcntUeshGy2mJ86dkwbp52KLd0cYpZV8JrrQxUDU9f8qQ6cDwdsCUyEZFevaeFQKPO/h98PBO1rGKQbNSXKUZtaLo74k5s2BDKgB0Dw/byK4QAxaTJlGWGaAgLp/kePTJFaqTKda3a+w3e24l6BgcaWYCjUHGAl4NQQIQUTHja8eQmR47nO3RtWS3KgF/mlLg0XZ1BCo77r82+wYPb5Z49YqcFDebe1xe/gJZniPNU2xX23jY//C7H/Dym5cAKLl6/PkTlFNqWzb7Bs6S6ZT0kumeQgyEhDo8TnDGPgn0LAB4HA3qtbaL78r7AYyXZMmPqochEEDZd/7gHNg+bLDfklthVmTIJ3k8LKXPDYAVL0mPIAQKFjsGavYjGea+swjrfTwPoFSskIp0uFSG+raHt47scNXxa/+7734LY1J8/lefoxi1HGQPFF8Reh+Bgx8fkzYA2K336OoO09NpXA8UpPSx3w8Abd8jYAjMfQg4qypcPrvAV//lXyJQ1+V0plGy2+HsyTnuH13hrJrC+QClQ2TRaTNw+z+Yx0/ceEJ3quawnCrgIwCxVGVSM4DJeOPsLGksu+BhnUdnLa6v7/Hw+oF4z3yRbd1G6tKb767x/KvnWN48oJpXOH96ETfw/WqH1e0azlk8/vQJ3ZxWUJ6RyNbFklezrdH3LTukfdjBD5Cgx3p9FyP/x+4XyJM8ltr7VuwiU/7+Bg+c9e2WW8zP51hcLkhvmlG8RVXAW4+b5zcAEM2QJIOTw2yQRHXx5wBEQ5PgA7yWjMFB+WFhktlEgPfHG9WcPT1Dva25kjAAER2GwMa79EASWCh+J1eLeI3eBdw8v8HNy9d488MGhnvhSZLh13/zdwAQs0TvA86fknVpkhis7zeRGw8MFEMx6rD8T/AeSA8BQY6lpOXaPmRoLiUrNYhuSIbRsqRyatMox9vWJNoi/PxFvhiymoqsmMl7nESfMt4UlKLr3txv0OwadpZria43csU0aRI1y7umi+hp6S+OUeDeMRdZqwi+fN/hnIUbzRmjJZhgYNYI0GQSjWpR4eTyBOW0jNW//aZGXmTIn57Ddha79R4PL57Tc1lcxlJ3VmTQepAh1kbF5yhtQPk57wOUH97pAe7IHFZ8xhv2sSMEj952aLuG1yVrOIwySOdc1HDIdBa1PSYlzeX9foP1+g7ff/8VdrsNzi4vkJc59W5vrrHfUzusqk6QFRkeffYYCb9fOnhxEMgOoGACi/qOq4xKcXCOgXnTa2gQQDqCgt9zbLcPqOsd5nZ+8PzkeUsLIvA+IwFJCAPbJIRwoFGfsXNgMSmI6irzUSlYa+GswWRGYjf7RKO7XaNruhjwpiPaolQ1hQFm2QRKKkNEmftwGud2+4Dnz7/C+ePzWI2VIXoxvGDpXr2PrQ0J+Nt9S7RMxqWMAY1upInSOwcfqD9vvcdyt8OubZEyqLfZMzXXWmg9YL9Wtyvs2jYe9gEBqQRo3OMP4bBN8/Z458GvNKEY0zyLFpQAlXtDCBGwAQxWi5aNS7Z8o63tkfKBaZ1Ds29I2claVCfTCAR7eLPEflPj4c0DXnz9A+p6iywj0Z8XX7/AZsNYgHaPNM0xn1+MtLrt8FCtj9zpuFD+CPLyfYYCadK3bY3tdhldl6R0LyVYz+pTStFLpX4Qfd/rF8+xeVhQ1s1/Jxvb82+/wevX3wIAThaXuLz8GPOzBXk+b/ZQSkXxj/GBZqW0Z10s8dOFhAPKDPXNBXB2HLI9KzIkqeEKzluZQzikuZChDTtlOR8BRWmewfYWJ1eLyG333iMvMlQn0x9RLJOUHL+C98jKjMq9YVSuHQGV6HnypjY69IR+Gq9txMU9dggg0zAVCUBsMXjrYw8+MOBwc7/B8mbgbN88v8FXL79CNZ/g6pNHTP2kd7lb7WKG0O5b/Pbv/ydevfoW52dP8OjpJ5ieVFjfbyi4vpB3klNwzTQ6qTZJv/2AKsVrQSlF4ltHDJkvjrP+tytIkvEnWYLZ2QznT88i7kVcDJ1zWFydkLAJA9WSa8NofxPvvatJ1+PVty+xuiXg4/pujeWbB9TbJgaF4l8vmvBkHDZclxmJyQRHgmP+yENvfP9dV6NtdrC2jWA/0bCXzJ98QyipyIoMp49P8cn2LwGQydXDwys8PLzBfr/GbvcEj558gsXFAr/41X+MgU+zo5bd/HyOyXwyAACVQjruG1tyqBOhLxHDMamOB9FYBTR41pc/stVxevoYfd+iYfMvKW8rpRDMsLZF36TnIHhcATK8jk8fnbJ3heWyOamNiraAKFOKGFrG2C6lVDw8AWbM8NqWgNSNAL5jnJXilmoIAcp+QLLXt1gu3+Du9R2uPrkCMOiUKDWY9wQvWJQQfQME8C37tlKK7pFxW1mRYrvs4s/d3jxg9WwPoxT+3x+e47//199CJxo3z2+oyh7P1C5WU5ptjd1yx0FD4J6+iZr9st8ppdBbi5/SLvxZq//n8fP4efw8fh4/j39H450Zv6gXiftUjLC5t+Y90biKaQnNcrveeRZzYM/k5JCbuV3u0Gxr5GWOq4+vsOSS+PN/+R7f/fY7JGmCR588xmRWRpvehzdLqI2UnDTKcoqTywWpZnU90x00oZvr9keUJuGmHj2UBoJH37eUAbRUnQhhELRQzOVUzNl0ziHNUjz+7DHfv2GwxxYPb0i7OziP5fIGzvX45JO/AEAezkmSsNfzlJXQBtDeoLvPOIGuj7Ky8X056rXF8qD83gcAvPJJHrXZdaJH8pmabTiH8rtE4N4F2L471H6wZMlZnUyjpreAhwSLQb9nY7VoLNtMz5CVvjoL9IS0JbUvjyQNEd8gPTcZKWuB9+2HCfiIBXCapbHFIgIffUsiMdqY2P7o2J50wc5z199f48WL3wEvgLb5Dzh/co77V3cIgbIdATCuVje4u3sBAKibLbQmeVtx2BPAFwAYm0RpXsF5ABj43SMdAynPuiMBjsYMGu2EEWGKZN9CKQ2jCZk+v5jj5NFptKod+w/kZR7lZPMJrfWiIjS8IPEBYHWzwv3rB/SdxZSpey23FQlEyeJBXPWStSeVCCm/vl3S/xBQ49u/33Y1uraJ909e9dKfthHc1u7b6L1x8YzKM9WiwvruIzhvkSQZpospnn35Ea4+voy+BDI00xNpDvu4pwCIFSznXFzflNFx3138L0byvFpruECsn2NL/WdnT+C9Y9rukBeSiBVnlYmOgGZAKM+DgFDwVH0YKzRqrbG6XWN9t47Vwa7usLxeot7syXOlKriaQXgBqdymGdH3nLWsqudYx8MOWCpR1uRzwPUOnT2O0QCQO6Fv91gtr9HWX8CwfowaYWfopgHwfu8c0cjl+U9mE0y5wimtQTvtYVKiM65uVvSZSuHkbI7FZIL/6//4b/j2N9+ST4HRJGUvVfMdqeFaS2yFeluj7jr4MABc9Wi9+hCgQQw4EQF6e7zbpIc3VKVlYnIpiWV5RS89luE8lYKss7EM27dU+slchuA9ditSA5yezDA9nUZwm0kMJosKWusDUESSpZiezvDo0ysAwPJ6BaVULCPK4RSpHVz+jA/BOxidwJjjyz5aayBo1itv0bE3dS/cbtlY7SAmoxnkJ5Pg/Ok5+rbH3ctbvPj+3/Dw8BppmuPJk8/x6//0N9HrW6hRRVUgL3N456gMyNa6kaokfWutYRJEi1AvsrxKDTxk7+PCP7bnlSQkOFNv9rG0C9Bh6nobjVk0o29t10fAkQReWitYplhWi4r4sdzzlpI3wHLNfHCLApkg+bMyG23+Peq1Y1pNGGng/5FyZ5Yy5TP8qPz/PsNL6VwRClnxHiIUv4gol4DMk53w488eRX4+MVz+N7ZPLlBvG9y9ukHd0GbYdew1X0zxxRd/S3Q2o/Ho0yucPTmPfOYxXVGsYElRkQIA73zs78rBKxSoDzkAkxGNzzkb20SCccknJU4fneDi6TmqeQXh0ndNG4O0fJLHUnDfknXq2DM+Wt0uKjxc3+Lhuj0wJRLjobE5FdHjBn0JSBtCMZZhFIwqDwQ1zIcPGX3fomeAL0C9VAnCLQNNHWusO+cAH6KVapIazC/mmC6mFMQp8mAopiWp0I1YGeOWRV7mVOpuDgWJIn2XOeuCASL8SR/9MwDEnxv3k993FHmF9eYO1rawXR5buEnmoBSpVA4KpgO4Tq4PYDbVeheTMKH5SrtPAtG+7bBb7yiQYdVKCfqDD1EIS555xBSEcKDoqbWKc9N74vprM/ghHDPado8kybDZPqDe1FFHIngfqbGaW7lvU4dFYnh2NovsFZ0YtIqt6AP9W6TF3/zhDX73P77G6eMzTE+m+PjXH2O73ML2RBONQF2jCRtkxQuBPEmc51K/c7Gjk5oERmv0zuJ2s8FHZ2d/9D7/pLSRcNDHQDNZ6H3Tsyd4wsCUHiEMmSkgB5WFY3OFZteQjzn725ucPvPRJ49wcnkSF1GSkMxvURWYzMuI8JydzbFb7Qj4IX1vK1rnLnqey3CuhzYJ0vTQDex9RggBve3Q9xT1dz2L7YzEHaTnKWAqpSTzFFUxC6WAxeUJfpX9Nbr6zyPyvVpUg9TkKKIk9Chp8cuCGgNn4p9HwDoBvgU3RN59Rwvfuh59f5wv9/JmybRE8EHDCPqEhGtogWYR7UvmFaS1LQcVyXCamOHHjIADBgkmRHxJDjOogZZJ0qDDNJUem2jeC9hMKYWAEQjRSVXqw7I+0aAXZzCTDvS1hGV0JcMmxTmF2dkMaZbGwKeclnj2y6csLNSTiMuuQW+pqjGd0qIUYR9RpZudzQjBzs9ZKFki9COKjJJZjXEsg7pkgLiHHXvwK20osxUkuRd9eY08L3H+5Bynj89G/PRhzQnbJYQQgYrixGmMwXQxjb8DEN11djYjeupI1yIECqTSkUKktRbKDYe7vI/xXJLhnIcOIbI7jhmxiuX6uI7pml3c+AGaz/V6H53zsjKLyH0x5Zos6P7cqBInWhVy/WMMheJESyqDQ4AZ4n4nAU5E78v1uSEYlQqBbY/D9hTVBG1Xx2rjIIjV8zrUMcmRQ1+YXHKtWZ4SvZTZTiEE4uo7RwHfaD5W8yoKbymmyFl26RvPW/l+qS5orvrlk/xApIiovQoaBlofT+WlrLrBcvkG24cNFpyYmZRMd7zz0ShLXEbBlEapiooSaRRuY8yBuHRKMrZb7fDym1d4/NkTfP75R/j919/jxdcvosuna8TddEgkFQe5kvQopWDd4X1mSYrVvsbLhwf87Sef/NH7fOfBLyXdCKYRxyIX2C2ri1GhlJwAHGxAcrF915MrHyOcNYtryIYq2s7aqCjTKnx4ygKY05gTf5psED204mw4DOXwwzIlBRFCxTtmeE+ZftvWEMcugFD+4xIa8dx9NGYQAJj8P6VI3/7syVnMVqXsc4Ca5VKf1qQURwfb0FqgZ08iNrIw3gb2vb3HSyB2LLr5q7//ZxiTxrKvjZ4KElnzgWhMXPxEn2zjZ5DkbIasSBG8P3BVDNVgHDTeLJtdixDo76SVIRm0uDGST4AfCVyomHWMMynvDyPyY8av/9df45t//OaAFy/fFSl0bJsMS/9/Mp+wlSl9BrUJyCI1hIDF1QkuPrqg6P8twKFJEgZxglsL/kACVe7jYI2x30O0KR5Vhv7/lLqNSSKSX2mNjO1Np9MFTq/OUJ0M5lq2twgtIZvHJibtrokMH+Fbj+e6BDPKkL21NpoEX9hWNT4/KeEaybLGNEsWsOLNeJBt9fDewdrjhavk+uIYPUNZb1lWRkbTflNz1SuJwFUAMVGRzFACNEHAj4fsnV07VEqpXB8OAK3CetB+tNd6usaxyh+V/v2BW+X7jpOrEyRpguXd3YEsdseHjZj1xCBGBMS4rScjzZjt4j3QAMk0iQH/0MIz0fxMDkYDwLpDL4KO7YdTmyKZJ6z7H5CxMY64MQI0n4wx8Mp/0Pz33qFt9+TKeP+Aq+4RP9Nhjx7sgjkYY5fEsehaCENbQPYrzdoMMtp2j9XNilz5rMWTjx/B9Q73r+8RWDiMPitEsJ9zlgWbevR84LsQYEb32tke/3Zzg9uH1U/e5zsPfpLQNNEOdZhYljnnPkpIyqYVhTV40zUpqXz1HSETxYHL9Q77vo4LO+HyeF7mcWK5zMbemVA7lBpEfLqmjZExZYj+AN0sGTEdYMfTOwjd26Bt97HcDwB1vT04VJS10J1iRP2gH07XMKIfjYKZfJL/SFxDsbRjCG2UzJRybbRb5UxvyEp4EnoJBBAzCArAHLwfMqn3Hd9++xucnz/D2dmTyFcGEA1nZBOk0l8fqwvehbgAJIMV2uFYoEXQ3QCVw0R/YfOwRVe3sB31FNumQ8ayxkq4+qMMT1zhqDLhDg5U6f1+yAZw/uQMf/inPxD2oLOjBTvi3Y4EcvSIsiOoZXGYE5OqvCB2zPqOqFzRktkP2upRyZHVEkXWFBjKvXI7ku3GytBIndJ7ykQ862ccM4wWU6UUZTnFbEaVidOrC5xcLbgUK0yWQJSs3sGbQdpZgrDIB9eaZWQl8B2tR14PCVO/2jAoxLUjvI6Ud02SRNMWETaxPelfAOAKHc37DzHpkeBOKQ03yvjHlU/KNMmzQymF1KYRVwEgqnQm6ag15kVZc3gf4lY4trgdr/cfB/Kj6o7sCazqJ4e0iPl4d3gYv8+QVsN2uYa1PWzPGhIJ72dpgoS/c1x6HycdkvyImiggzB+23Y4Vi8EFUxgyYjNO+BrRRfERbyaWt92oYjIWTJM5L0qHx448L9F3DVarG/zww7/i0cdPAQCnj05ZVI72aGE5yFmnk+H9WW+jq6plhdkhiQuxapmmOYL3WN0ssXl0io8vL9B/aqGNQt/2WN0Q/k3eq0kNbE8qorvlFtZ7+OBhnUMmSoo+4G67we9/eIn9pn779uL4k7a8lGEfCjeQy5qoqTnud5GHcHgr61QMRLO9Y1tWwzakhzxbEqAgx6cspT7FHkNUGG0Xi4wzBBXtTL0PkQssmgJybaRCpvEhyn0hBFhL5T49sjps6k0MMIKnF+8sbT4SbcdSpNGxOiDmIwn7NAsNS75LGw1jwmDdKXrQb2miK60QLGtSj6N8fhbRWMJ6+OBi2fKYsd0uoaAwn59zn1wCjIFbTG0NKq+5nvQJuhqRx/7qm5dYP6zR96Sjfnp5gXJG6ls9mzEBVBmoFhNUi2l8xn1nY2QvizxJkoOAYwhy4o5zMPfEme/Q3vT9Rl7mFHxx9Ub6rUopZEpBMVbU9Q5Be/TNUO6VZyUgo174xux7IBRJqWJpo9H7DrajAEsqYd76uHkA4D5hiIBNbUbtDsgjGChtFJj3CDju4IdSyPMJFotLnJ4+xoxtRKeLKuq1ez9gLERMRX4XoLnnnBsd1hrea+xWO7T7Nkr7ypqQeSuHpBod+gAFh4adEbM8xIxaWny2s+halqztmliWP3be0y2ouGdY2yNI204873nvIkClR9e1CKGMiQuAmMHu/Bbee0wXFc8N/6M1JLoMY466jLiPaAp4vPfQ8AhhaO287UXhvUffdAdJwPuOECgoy/Ic+/0WtpMKRgJdZDGpkrUr7TDRlwA4sIkBwXBtQt2Tg6+rO+STHJORXbN3tI/YfqiaktlTgZxdMkOgNeOthwtuVI0cxK2C9+j748F9SZIhzQqEQO8pmq11BM5Tnp+nzHNHAmnKOdj9YJKUT3J2Y7RDpSYZqoYAkLO67d3Le1SLKZ6cneDj8wsoKNz+cBufHZ3DGQPtTdSqCSHAuqHkDwC7tsVvvn+ON99dH2BHfnSf73oIIoMoAgQC3JEelNy4Z46pZPxaDwwAEVrwlsRGCJ3YRknGoVdHm0CepSjTdCglnXiO9ofSICkKZlBqT4p3lsxgXG+jOQvAOth9e3TGI8N7Chze5oGv13dotnXknEvQYzsL2/akc+DlUMsZ/a2RANFqlcx1fORnioCJPDOdDE5nB4uXak4/4ijH9+EH7WrnLAORuqN5/MYk2O6WkckQBYT4oNNcXpbNn/rgKXbrHX745g8AgO+++ydcX3+PzeYeRhsU5TS2XERYCQCyrMB0eorPPvtrfPlXf0E9UdGpxwBYk6qNVE9kHvoR0vtt0Z63LUzfd0zyjI2HaAOXz8iKNJaZ00xFRHc5LdE1HZV8eeMW61g5FNOcNjg5tKLGeCBkeMSmhAC3pUNPMBTA4H0Q/KEoCF0PSYbGPq+U+tVQmnzfkaY5Tk6u8PjxJ4RbkAqGGfq7wuBxlqSKJZCXdd93pBffo49rY327xurhHl1Xx3mwOCPBJu8cltcrbDb3KPIKF08vGQzIB4dWsb9vLTmeibaIGBy9DZoEPly5EeAWZd9EbE+aFTxv6dqLKkcxKbG/XWO/36Bt97i/Y1DytxnatkYIHvP5BR7/4ikmrEuRZglmZ9Q7rhYVUplTXQ/+KsoqR2wFrTWCEiDvIJc7zqrHo2v72HM+ZoiNdlEV2O+3QyD9E62joYJnoPn9+JHoUAgDPkkzw0veiTYkQpYVGetAePTxPDjENyito2SzZPRyvRgFPjLXbe/i3nXMKIqKA95HuLz8RVx7fTfo9lP7eahwO+sgTnwAO4N2FtWC1m98T7FtOGjwK6Wwud/gzXdv8PtZic8+fYY8TdE2XawM7nYr5P2EK06GjHoqkut13qNzDj3vpd9eX+Nff/N7bB+2h1W1t8Y7D347AmPZfnBLMzwpLR+00o+O/cWRvrhQL8afSSYtBkWFWMIPvHk3bYfVkhTMvHVRs7rjSbBb77Bb7qK8rWzKIvcrAD+AX4rrD3qWxwzvLXrbwTvLhyjdx2b7gPX9igUu6BDMGAy2X+9xf30TlbnSNEOWkXBLUUwwv1ygqIqR+IRk9zpWNwhTMViQig+3/BwgmcJQ8pfF5UfPm+7fwtoOVbU46t6pNNuiaXYUnIwm6/jAVwzEE1BiV3fRCbGqTnB5GZCmOSYT2uj6ngyKynIaKZZJkmK9vsN33/0TtNb45M++ZMELxYzKobQuJbPxwf5271v+PbRDjt/8FyXJKa9v1/B2oBbJs84nVKaU+UxleGIR2Njmofco/XDBwkxmZWRCAGCXvSYCAMfGV1mZHbSppPWmtWKxKCo/u95FGVkAMcB2zh3tTFlVC5yfPcWcKbOyYQVeX+AkIElZOdIPpV1RzVzdrmJFbvVwi65rkGUFyejqJHrc929abJYlSVV3pLS5263QtDucXTzChPXKnSVfCGlnidFPu2/RNx2afYO2FaWzgU56rFS1/B7gI65HWnzW9mjbPfK8hNYLlgyvsLw32GzusHx4A82thSwrkKYZkiTH9fV32G4fUFUnSHnOi2tgVmS4+vgKFx9d8HwSECCxkcZBqx/R+cK4DciViPHeQKwKHwXS3neQI18gAa9koB0KcBjp0O+Waxqe2/A50gJWzLYYgxXl4MuKDHmZQRsD2/UopwXChnT4u6aLc0RrDWstTGKwuFhAKXY95cBzPFzv2PCnicqrx4xnz/4M8/kF0jSH9xb3b+7oc53D4oLbXKPKopx71Hqm79utyaip2c1RLar4LKQlGsGhXOlZP6yxvFni9odb/NtHf0AIAV//t6/x8uU38TvKskViUizOLvDk8ye4/OgSqUnI1a/vseNq1z/85iu8/vYVnUnFT1PY33nwe+tgMeqVS6ki58nImY/iMpW3DspopFmA94N6nNhWSqTXNz1QsCMZT8zN/Qb1tsb2gfju+9WeNka2KJWsb7feIklSVCdVLEHLy6BLGmYflRst0rSIC/KYEfnSCLH0AxAoY725wyWu4oQW3mWaUV9UVP7W61s8f/4Vuo7pGCHAJCnado++b6G5BTGdnWE6PUWSZMizApNqgdOLc3I5SwYrR2NMlKkk2o47QJiPI11C9vao6y0eP/30qHtXSiOATEls75AV8kz4kOWyrPceaZZEmk+SJqiqEwAkzWr0l4BSePLZU5w+or+3vYslUYBaAz/87gdsVg/ougavv3sBpRSefP4ERTXgAjyD/QRRK3KZUlrs2j5G/7HPGHB0tQMA0iTBZD6JgYMS1UVHB3I+yQnpyxvNbrdDs2+wX+9j4JUwjbGclRTU9TYyENKc7K4BYL8m+15p47T7lhkyQL3ZxwVccKlT5wpZSbrmQpkiVPxA33LO0vu3Pe7uXh5172U5Qz4pY0tKlP+CG+iDVLIe2lCOaZzCUb69fkky15pcx/J8AmNShEDBuLxT5yxjZqhSWOQVOt1itbrBZvOAywuyuT25OmNfCAMrpHNrAAAgAElEQVSnVORO922HZt9iu71HXdOGO7bV/VGT/D1G9EDgg18OoIqDV+fIJc/2DkmaYH5yhiRJcXn5cVz3WZERn/t0Gn+nmBRI0gT7zT5mc8vre7z4+gWaXYOzx6dIi4zUUrMU2pBJlNyLd2zINULRR4rfWxm51hp1XcN+QLlba420ICdGqcrZ3qJrdexxHxhi8eE3AJqpTB8cVbfSgjBWCScxAtZNc9LHuP7+Gpv7DbOCWixX11gur+PzfvT4M1TzKrpgyjrxcQ8a7t32Ftba6LNy7MjzCfb7VdwzZM9frW7wC/9LnD46PWC3AVT1JpdMqjQ518ekRgCr++0Gdb1F2+6H/cxZtFydyvMJlvcLvP7uBUII2O83jNwkxdu23cNM5kizBIuLOa7mcxitsW0b7NsO395cAwC++cdv0NUdkuzduLZ3Z/zWwoShzBvL7UodlBpVp4bgIASEJIk0EwkIurZHYH3xhrMCrRU2bHe6ud9gu17FhdZ3DXNoeyhl0HUUzTfNDnlWIi8qzGanWMwvKatKE7LpHFl+9j05bKVp8UfLVH9qCJhH+n1joNB6fYdmR+5p5PvO9KRpEfm6AIDwMbbLX8H1FpvlFjevn2O7W9LhGAKSdIjKBE8AEKVK3zPKO09RcLVFaYXQCYDFoWv6+C6kryilTnIXa4+m8gEi4mKw36/R1k0E4gEE1CGgXWBr0gRJlmK33KKcFvj0z38JgK5b2hVd2+PhzZLsbPM0CrkAwOx0ik//4lP07VMqB9+usbpdReEXAa4IXoKynXBQ3RkubpD3pQx1AGUeM7QCHn36iAB+zFeWe3fOU1DA4jTtvsXqdoXbH27x+vW/xe+bTk8xmcx4g+7RW6p0nZxcAlphu6ZDsq430UhK5liSZOwxoTGfnwMAzh6dD17noz7pfr1Dvdsf9Pq8t+i6GtvtA67ffHfUvUt1bIxGBwBrB8BUFI6JWB3aH6qFsGeewpgU3ltkWYnpfBFd3Bz7VdDvqdj3TlIT/Qhu37zC/f0r7Pb0jPItraeiKggsyZUWZ0kwbLt5iAd0CJ7X7CAje8yQ9xBCQNc1MaDobQdtErTtHs22RlPRQV7Nq1iFkdGxjj+AKEc7mU2Q5imuPr6MAdr2YYvVDdkr3726R1EVmJ3NaD8bsTpECvunuPnjyqoTam3dIi+Ko+59fbuGSchN8v7+VazUpSm9O9s7GB8AJHz4Eh4lz/I4F5p9Eym9VHmyse1wt6kPdACspYCoqAp457Fe3+Pu7iW8d1ickHbL+ZNzzM/nFGgnQyVZKj5JnkYEfN/2sbLwIev+zet/gx8xoWQvTdMcRUE4jWpewfWONT18ZBTJ2q3mU5TTIgo1JexKWW4rbLdrbLcPAOjgz7MC5WSOR09+gfNn52h2DdZ3a+T5BFNOoNabO5bPJhxE1/bQSqHpO9xttnDB45t/pOrA9fc39F3zgeX2x8bPkr0/j5/Hz+Pn8fP4efw7Gu8G93XNH5W6jVQ2H6BUDih2lNIKSZpDaRxE2t4H7Nd75uhS/3K33hEfXuhuWkNrgyKvUORULhMxEHHHA6gfnKYFuq7G3d1LOGeJdjQro7CBjKbZxj9/SL9Hq6GqAQzKZVmaY72+xer+AaeXF1FeUgCKJj30cZYsaHG5wEdfPosqcwAO0Mntvo0gSmc99UnZ0S+a4AhyllkEjoFO1B8M6Lo6Kgw672BtR5WP5vj7l4i3rrej8lwGZwOUIn/wvuuR9imXAnsGLHJLZN+SIuN8gmJaYr/eQyl2Ukt0VLqq5hOkeRbL3eV8QjzVtsduuUN6NfD1CdhIz7ut3+LD+6GfLxK6bd2gZrzFMSPRBp88fYTfPT7Fq29exb+3/WDBW80rlFMyUbK9RdPskKV5pL9dPHpE6PQRh90x1areDnPz5OQKxrDsKZcYkzRjGuZQFm92Daan0+gGaK1D23RodtSH1lpDcSzf9x36vsX9/Wus17dH3XuWswCJ8zHrB2jaOueBHvDpYX81yVJoM0jxFtMS1UkVhXnKaYGsJIrbZD4ZgKvxuToIPdE7j/On51jffRwzOefImChjBLjvCLnetx05yjVb+APq3UDLO3YcsiQ8Wq4k1PU2ltSzrESxK5FPcvRtR5knC8oAQMpA0+3DFmoJZGWOZtcgY/EyWc9pnuLkaoHJvMR2uRv4/m9VKEUtcMwEeptOJ2tcWkAACSQdM+5vr6G1Qb1fY7m6jn+fZQWMlapGAoDYF+LSN9acaPc17u5fYrW6QfAeRTklmfWTK2hFjAF6njtMJlNcfXKF1c0K2+UWL374HXrb4fzsCaZTwiXlVRHbXUpr1Js9ml2D4Ek4KuU5ASCW/q3tP2jPX61vYEzKbnjD3pIkKe7uXiLPJ6Sql5oB4Q+qdskziAwEbgN7Rzi1vCpgrYufG7iNnKZEZRXqc8/iRxEbZAnvQDgYuietNV4tV6i7Dq9e3OBf/p+vAADb5RrOViR8lvz08f5uHv8IFdn3LXqmdohOvExA4fgTzc8B6JBPuA2gNbq6xfJ6ia7uMFlMMD+fo5iW6NsBcDb2rHc9WcGKTnm6TSMKOE0/R1bm2G92WK1oQ8sKUsKzDJxouJR0f/+KaT0OSn2AVj8P8SEXSmCeT+KmenJ+Rr3GrmeZRR0ljAFy4ut5QSZZSlzlIo1cZNljRIxEGAniyieUl0ijYRtaoal5RyI6UArNtsZmfY+m3fF1G6Yj+Q8qeSYJ9WT3+3Us+blSWhEqAsqUoj8bY5BOk1gW39xv8OYPb1CdVDh9dIpqUTG3mUR45OBXSsH2W3KeWu+R5ikmszJ6XLd7+jkp8Ta7Bl3dEpDRDqyC8aboehcBQvUoAHzfYbTG5XyOz/7yM1z/4U18L9459B1Rzcg+2SAEYHoyxa/+46+RV0V8/0T3pOsas1hk7bx9KMn9hhBIETMn6+sBqWwjnsX2lpQwtzX6jqg9ChqW6WsEaqWf9cfy+E3K7oMCGmNk+Vul554lVuWAfVuXQvTURU1TQI9j+W/iZadIMjq4Il7BOUxPp2jzwWIbGLUOmw71tsFus8X9/Su0bT20HqF4cx0CoWMGzSd5Pxodt8oEsBu8R5pmKNfTePjK78nIikGe2HvqAXvvYUtiKgxAaTowJvMqulnSehKp42FPFIn0EEJsLUY2QNcPOgaMKtfsCvchI88nyLIyJk9NU0FrEuvKQkBIE5hA708kyoWml6QZiqLCfr/C/f1r3D+8xnx+zq2vMgbn1vZ4+fJb3N29RtvuYW2HSbWA9w7T2SkmLJebZmlE0IcwsGVCIGEb73wMELuug7Ud2naPC8aHHDOEAiriZGnKe49OcHv7A7TWuPzoKurPyDvOyiwqlIqcstYaXikEbvu0uwb7/Tq2IKgdQcl1sa5IkZZboUJpBIC2LuFcD2t7FJMSJ1cn8N7j+atrtPsW//P//A1efv8Huo6sQG4LwnvZn8Y4/IkefwdjEn7hLnJinR/AJeSDTT1fZ8l2NxltEDoxkeZUnZBvd1Zm8cEI57ve7PnziMYmFKJ6ywIZ/KBDCFi+WVJ0ZEgk4fTRKZnHdGSPePOGDE/evP43pFlx4KN9zFB6zP8f69UXsK7H/f1LPN19joLBh1prqJTAd2Pwi/SdnXNwNTERktQc0PTGAhye6ZBpnkWkrgQPXduj2bWMIhdaDAHr9vstiw2JoUyIPapy9lMGjX98JHxoKKVQ15vYPy3twD2Phxhna1LpGKNJtw8bvPn+Ja6fv0KS5EjzFOW0jL1MgA6Rh9cPMXiqFhXKaRn7vyKBCwYRCfVNlOFkiJYBAJ4LDbbbB/Td8b2+xGgUaYa/+vPP8d1vv8P3//I9AKFdWjp0VhJgAWdPzpAxMEuGoHgDb8RiZy09zoHKSgencHNFlKeclpjMylhh69sO3jH1r+mwW+6w39TxsPfBxYqBtT0+/uJLnJxc4fr6uB4/AfAsB5dulPEPynue9TmSjKi3Ikkr6zQ3mqmQHbq6Q1PX9N8NSTrLJimbnNhpk7Y7HVqSAQGU9YGDkK7pCBC53WG5fIPdbkWVP8HgKEDh8CA+7v6H90JaHrT29vt13A+7jrBIkvR476GdiiwdAVaJHLXw7YW1E+mhZYaEBcuKKkfw+YFssfDIRZ9kzIsHRpUtDkQBRJBrOZ9EuvD7jhjEJSmyrIj96K5rYEyCxPHhZj0FbQzcU0rFPr5YKQPAZLJgrFGDh4fX2GzuI7MBTE8j3MsVjEmx2y3hnMV0ejYy3qFnSQwuHAj2pEWGelsPfHs+9LU2+OKv/uyoe5f715oO7jQt4nts2z1Wqxs4Z/HF+q9RLSqugLlIuZUM3bAOBQVorCnQ9GjbFt7bg8oUQGDU3W4F/UajnJYUcBTpUA12c+Rlga7pcP7kDNNFhRf3D7j+7hovvn6B3/7D/4j7c5JcHszfnxp/4uDvYUyPNNUIYVDlIvDMIKQgB7M2OnJ3o7lDmgBKYXGxiJKmmk1/0iJFUVFE2nPGbtlwIslE5534+XIA2o6ynnbfIisyFFWBJEsIObnaY3V/j5cvvwYA3D+8htYG280Dysnsfd99HBTc+CjgMX6giUmx2y5xe/sSl+ajiLwX+dSxZrqIqQCIamZCw3r73cTN1WhokEqd7Wws40l1QZDfgi5v6w5dV8P5YaMOISBNMlQnV3j06aOj7l2bBIbfs3cuAgRFSRFszpQVWfw7MhTy8eCng/0p7l/d4eH2Dvf3L9G1NQEXtY7o/yRJYXSCxcUpqpMKk9mE3ffyg7YItVMUlfn3bXymhg8Z21u0HPnXmxq73TIuiGOHVhpGK1zN5/jV//JnuHl+AwBY362p2uA80mUKpRWBtrIkbprxnapBAEjmNqlYDj7uAFfMeI4Yo+EclelIBjYMfH8gHrjb5RbbBwr0RGCKBD0GBsPlLy7xt//73+Lrr//7UfdO2YVQFF3c0N4unZNUtSCUB7Q5QEqc5awkgyO9xN3LBtvtPXZbg/12GoPxhJ9b1MGwLRQ0imoSqwkAiEfuCdy2X9do9kTXms/PURZTbLYDuE+8BbQ6DK7fd7wtiCQI77bdI0tz5FkJ7wk5LqqhWZEhzaicC7C3AAd6UtmTZyOS3PJzEkglLNusnWIlwi4e5gJkFbOYhNVPJQBsds0QMDiPNCdA4bGtjiwrI0q/KKpYVV2taP6X5RSmTyKArt7U5CY3yeNBlU8CJl0J78+QmBRdRm2oPCeWjPimFJOSRWno+XRtD6VOEUJAOS2Hqggf/MGT81zfkF9FXpJGSrNrIvjbWcrWHz/9GL/4818cde8AVYu01kgSlgPmtuluS3uJrO+SK5JJkiDkHqoY2h1plsR13rV9dG0FV431CDwrIFJpe9tugXJaQhs17KPnZPpjO4tnXz7DpCrx7T//AV//w9f4/T//E25uniNj2lXXNazkaN+p2vgne/yGDW6MSePB33dUipMFQaVay/Qf+l352bzI4kQV6VZrB0EUMeEoqgK+JHRk3/SwdnzYjZSZRMWspoMP7Pjmvcf2YYNX/x97bxZj2Xaeh317rbWnM9TQXT3cnu7Ud+ZMipJISRRJUSQtOTIEGAGMxHaQxH7Ic4C8BXnKQ4C8B0iAODECOzCMhI7gJJKiKBJFyoIkShZJ+ZKXwx16rK6qU+ecPawxD//6196nb99mn/aTwfovLrq76tSps/dea/3T93/frbdwN6KYGSltTJ/QwdsYRWfUh6Frip/HGuRFhXVzirt3f4TJZIdKTj4iaMNAp8l9uaQmN2I2FGrgvGYTUkDGSJ+Z+Zx1MKmHRQdCu6aoVhU5jUUuW3RdkxjLAFLkm++cw7VnX8TzH3puq2snMQyX+upNQ+Qo1WqKejqD1nQoVdMSLqLMiTcgDMRPkvr4568eYLI7RbM4T/OuuoUxesBMFDX2L+5htj+PgkwqkWDkZf6+ykjfkOP3kfqVyWQI4R7HQ5cPsFwexT7a9nP8UgiITEBI4OUb1/DO688CAL7zje9EZLWLmIUMKpZUVbHJauatT+VPq4lkhsmsjB5InobSYAYbg0dmKRzTEJu4N7qGJH1Xq5M0HioinfHw/EjW+OXXn8enf/FXtrp2F2fFiarZwlvW01BAClizxFzps2G0ksuTeUHTB0pJ7F7YjdgGi8XiHk6XR4NzFgo8a69Ugbqeoa53kjPkteQt8Qc4Q1XFtl3Ce4dnbtzA+Svn4azD6pjW6PHdE6xXJ7DOPNVI15gYiRw272UNbXr4wHwSsUw/n5DWSJxuYZNSQLmBYhugDH9MrOJHXAx8bvDInu5NkmR+WNuBJ1a4NWKjYihALcXJTp04Ura9dmoPOShVJIeyOLmX8B5S5iiKIrVcdJdvSAlnGTmtaaD2QGk0AnzMoIde+GQ+gZCxnRuFr6SUkEpgsjNNPWpubfFYuI3Ml3lVoFu26Ntu4IUwxFny0idvPpbA5oNMxIqOlArWaqzX5DeWq2No3eLCheu4+YmXsHthF+/89TsACM+CENI5JZWEiHuX72eWZVB5gSK4DcePEBBA0tcBg7hb8CHdp4OrB7j28lWSN59P8Pb33sW/+q0/xttv/zWOj++mtUjX35OyoinRrT+40vlYx69iNBKCh5QFihipMakNgf9yZCcE+hqTi6RFqBQyQQ7PxAiYbobeALEw9zc/XFYi434o9znbZYPVCY0vlWWZIum+6XHv3ju4dfv7w7iEH/qoT3MAuEj5yzbMdjrkiohVVssjnJzco9n9aQVfFRBSgV2VUir1wIOhEIIPdJghmk3SstG4fw3Eg4h5oI1NZCXTKcl99usulTvH8rt5XmJ39yKuv3YD156/stW1c59TZALeW7RtnDs+EainNJtMrHUOqvCJF5/K8wP4SIgsifVwCTAxvjEHdQSFcfvDxB6etw52lGWGENI4ix31yJkgQ3ejjbo8QtetManniXltGyuVQi4lfAjYqSq8+ikqG9798V3c/fFdWnOc+Zd54ppnUhu2NBIqaDSTZ+E3lejiOlASAh4+G0SHmLYYoKCXuS5OT45grYaSQ6ndu4EcREpqqexOJvjY5z+61bVbq6G1QN+WKMp8xNznMYzyDqRTpNNBpCYcpHtPXA8+lv/3L++jnlWY3p1hfbpEzxmaM0lIq6qmqCZT5EVOZVQzMBGygFWzWqNrVzhZ3MPR0R0sl8e4cvwidg92UMV21rWXr0HI6xsMo9va2ImxMf//mA7Y9AZ+6lGoIhJujcZzTZ4Od27X8Ojx8P60/mUumcUs7r1N3ADTkss4tux9iE6X2BwJXEnPvqgK1PMJVC4fe/g/ysaBclHU2Nk5AEBtjsXiHpGhyRxK5VAF9fy5FcdBD4P9GBDsbOT7j0FtNmp9WsPMfwrTisbfWLRprF3ACR/iCGHwjHMhp58SzaLG82/cxCuffhV/8Xt/sdW1A0itHGcNlsvjRH7lnEGuCly+/Dxe+MjzKCclTu4eY3EYgcMxEGYTQiQJc++HlsWY2ZOSQuIg4UCrrIm0bedgB5effwYA8NyHnsXLl5/B8XqNb/3pd/G7/+S38b3v/Sn6vnlfFa7vG+i+Q1nWsOaDW9yPdfx5QchEKvnnyIuokhZnWb13kRfbQ/YSSpVJOpEzeatN1NBWiYCCShxiw6GXdQGpBMyaUMpd7FlxmXTgP6f+dlmWhJyUhKg+vneE27d/gJOTextOfujzbZ/1ZVkWyXt4ATJYJzIKqgJad3jw4D1MJnNMdiao55uSs8hcYq4SIkMo1ABUeYhjOxOUPXKUyFzsYzpf3Wr0DeEeJrtTCCXQPuAMiPpH40z66otX8crPvILnDg62uvaTk3sRKa6QR4Q5ACwWhyiKGvP5uaQUlc0I41HUcqO8yBtdSJFEmJCxdPEg9ctlXu5/MisgC/nwfdKxEhSiGlteFsiLHEYbIkU5OcZpLEl23TpuvgpNu9zq2gHK+LOMoGFVUeD5CxcAAD949TruvU1o5zHIrl3V8fM+hFjXSP16AIlxr5yUGwcbO4hMUNk0Lwi572I1DQCaUyJ+aVfrRBKS50Vy+lyZAoAir7B7YReTosCzL24HctK6RQiBMr6mGJTmYsYXnI9EXcN1Sikhqs3WlYgl4LIuMdudwTmHnQu76Ncd2khJ3CwbYigsc6ioC8KKbdTiG97QWko2mnaJW+99D+vmFFq3aJoF9h9cxu4uPaP5/k5SS3sa2tpxS4/bKPR1D923aNtVIiSq6xlCmJFwz7TCZM4aBGpzjTNDZzwbEv20QBJ9YbEmJsBhLAcQy/dVgUIS7a2N4FbGVcjInglQFZVajttTFrO2B7/XJLZIL168gVu33sLx8R06C0LAzu45eB/Q2Z6CwJFaJkDYo7HompAiJQgAUvAuBBFSMXBVKapkct/e9DoRhenWJWrrZtHg+MF9WKuRRz6Uyzeu4+Nf/DgmVYkHt7abZgGQCNX6vkHfrRMQrygq7Owc4OYrH8HF8/soc4UHz11Gs2yhW020y8wwGgaa8DxSf4+rZEnx0xGBEa8HVSjU8xrnLu/j6ktX8cyzlwEAN86fR28tvvH7f47/+598De+889ejdntsralhjxpLFNqPw3c81vFPJjuRb3pT7ILKmzmspUw6w/AwvfXQVqcP1CmZ+PVVUcS+58DVzPSNXO5EliUmurHMLvc7yrpIY2yIGWC7bHD/3o+xOLkHG7XO+Sbwzz8N0CeR6aSMk0uuHUxeJgd1evoAP/rRXxHitX5lo+THfSp+8AOL4aAiBQyc8iK2Q8aVEGttWux928MHh+l0jqIqqAKyPE5go75v0zjZcy+9jE9++VP49Ksvocy3OwCPj+6kBUxELByl0kF08+YnUJVTdOsOk90JCllQaTO2dQACbnFEmhdqIOAJQ5RP95Weo4noV28d/IjAJGmXR6IkBvaVE6oudKsWy8UJFov7WEfktZQSk8ku6mq21XU/yqxz+P7duwCAb/0/38IP3/orXLv2CuoZKQh669GuWpSTcoMjPY/tLRKpkUm6l3QaRoQrLPgUQvwZldYJsxQClPH3bQfnLQXZSiEDCfxwuZD3TD2b4uDqAaQQ2JtsN9JFQD0iPmrbASPhbJ32a17l8TAfwGpSCQgxoMizeNCrQiVA72x/Fnu05Ai7pkvAVXZUTPBjtE33yGgT1e08Fov7WJweIkOG1YrYHlerY5zGfvTOyXlMZ3uYzOYbEzZPakNVchMkJaWC8xaLxX1kWZZY+hwLMNmB3VMIARXXAYkl0fmWqiUjNsTkoH0EAMcKFiVIUcGyUCiqMrb2qOXjYrWJcBRDgETBN2EwGED7pEZkZ8PEAF/7bLaPixdv4PDwXRwf34FzBkIqlGVNFYdeJWT9uHrJ4kqM/Kd7EKtS1qd1o+JEFEuWJ5VXDKOeANDHEU7nDIzR8N5hOt3DzjmaEPvIL38En3rtJfzWv/yDp8J3IKMR5nVzCm36hEc4OLiGF174GF7/zOuYliWkELh07QLu/ugOju8eo7RDkMnnPDn6DM7RNJAzBMjmZ6VymejYsyjte+HaBTz3oWdxcPEcdieULLRa4//9nX+Fr/2P/wvefvs7KIoKSsURxuABITeD1ciG+TjG0sc6/oPLl3F45w76vt3gqieZW44wYp9SqBSxMegEoEUgc5LbDGVOVJQRCDHmoAdG8qTxpvGiHgutEFse3cR21aFdr3B8fAf37r+NdbPYaB8AeF/vcxsTQsagRqAoKkwmtLgCAtbrE2jdpwPizp0fYLU6xmy2n3AN/PtVlPEsqjJt6mHUZwABIoSoN0AHnrMOAfHAj2yHuushMsoudKexPl1TeUe3OD19AJEJPP/ihwAAv/J3fwWffeVlVEWBdktku474CM56uIcUQsD9+++gqqa4dOl5SJWjW3eQUqaeIrOycUlTiAw5K3vFMibx2A/6A8xTbnWUYvYeyLINYCPTPyMQG5aQEn3b4/T4BCcn99CMcBxVOcVsuofpbA8f/cVPbffgoznvcdKs8Uff+g7+5f/wfwIA/vAP/xkODq7h2svX0K5arBfr1Gvt1t1G5lVOSuSxvJdKtjHosxH4AyAdhkLSIUkaGAbeEdL94cyHJ2IyCDhv4b0lIBuQ+qJXXnwG186fQ5ZlmG3J3uYiBudRIicsP7yBJyhoNFUJhbKOjpZ6cMl5lFVBz92EFBABlBX6CX0+dvocFGTrDt0IoGSMwWJxiPv334mVLaKUJfrroc+7Wp9gNtvHzs755Jy3tcchoznQKIoak3oeK505hBIbALt6PhnWg6KRZZlvjvFyP9/ZEIOHoQrKbQFgmH7wPqCPoD8KkGicDj6klkxZlzGA0Lh44+JW1y0inwqNmpm0roSS2N+/hKKocXp6iJOTu7D2uzh//grKchKnEiLALPbsWcgLQJwOyRBkSGh9YuuLynVSxhaohUjtDr/xuYy2aJct2og3QpZh//xFzPYoyAWAn/v0h3G4XOLWW7efqtpDwS5NMXlvsbtLWferr/4cPvH5T+OFj76ISVHgaL3GrR/dwf137mN9QoqTF67RZyinFbpVuzHFozuDvtOE+4nPnnv4rH2TzYieHlkU34nr4Ou//U387//of8Z7772ZwKbM6gmQEx+v07ZbIS9KXLhy+QOv87GO/9or19AuWyiVw+h+o1eaZRkyZEDkdE9fyzL4bIh8bQwC+o4U9SgjzCMYJn9fUKZmFepZhfm5AJ5RHSuXeR+QZXG0rdM4PX2Ao6M7WCzuw5h+w/GPD6inHe2RKsd8fg5KFYnMyBjqsUspUwDE0dXOuV2ISMIADDTHftWlyFUqgaIoaBae5W65nK8NgpcpAOqbnoB7cY65bVdUeo+EHT7yOC9O7mEy2cFnvvBV/Op/QGCuz778MqZlid4YelZb2GQyT6ARpj/l+2hMj8PD9wjcFEuNLEnLkT0waMoT4p0nGiK5ihwyKiEyCMi0GIXIEiqWiXwAxAyQJjyEFNAdaVOfnNxH25J++Hy2D74orQAAACAASURBVAA4f3A1gYle/blXt7p2AOiMwdsPHuB3/sUf4v/6p/8Mb7315wCAXrf48Ic/h7/xd34F792+j9//X38f7WlDFMRxsiMd1gUHPiJF+T724ymwZa3zAQ9DI52R5jgeFAxaWy1WacZ44KP3g9OPIh4A8Ppn38DFnR34EFA+hsjjUeaDSxzvYzlraw3yvEAGQcDOtoKZGuRVHsdrJVCxCI1MTp+rGRmLK0kBIeKztxLIKLBXmYr92yHQ5+mgbtWiaU5pMkS3yPMK3tmU1Rndpz1oLelTNM0Cdf30FR8+PxKIGRlNu0gJrTscHd3C3t5FTGd7WB2LDQ14bmsVVZ6SA+88FGu3PyRu4z0BPvuOxh85+OHqmSoUnPVpPwhBQjwMhiMHGoGkMXCc7c9w/ZXtkO1CZKSE6CnxcaMERQiF+fwcptMdCCFx5/Zb0LrD+fNX4b1LMrN5mRMmAUjZPhOO5VmW9kImBMRIi4ATHK6ApWpoPNO7VYvVYgltekwmc8x2SPBs98IeXv/M6wCAq/v7+D/+vz+GMzYlX9sY8+lzK+3atVcAAB/+zMfx6qdfwdX9fRw3Df71X7yJN//kTdz6wTuxrahw47UbAIDn3ngW996+j9s/vE2aM8bGSaQ2cUIA1IpNSO+MpgUe3DqEtRbLo2WaJPoX//gf44c//EvkebmB4Up02qM9yq2JC5ev4qVPvPTBz3nrO3NmZ3ZmZ3ZmZ3Zm/87aY0OiG6/dwL0f3cVqIdE11N8CkLIBKfMUsfjgIokNk15EdqKWora8zGEnFkUoYhaYpxG/9GEKRUhI69OIihPU/0mRfW+i1rfFanWCk+O7ODq6hdXqZDTK9n4mLWyZ8QLU41cyR1VOYN2AbDe6jxTDpBxHikseFy7cwM1P3CSVsnuEBs0yQEQ5VqsNZAQ+Umtm0HDmiQce32JwT7NssTw+TaxhJG9awnQaWmucLO7h+OQuLl1+Hp/7976CX//Nz+P1q1cBAIWUcCHAPkWrYzLZRQhD/zbLGODkIqDM4vDwXRC/g0Zw10lTe+5gUk9UJmY7HeWTOUPJhEjgE86UuEyaSQF4F0cXe7Sx2tGtWppXjr3BrulwfHQbTXOKEAImkx1cuEBR9+7BPrqmgzPusfKUH2S/88d/jt/5n34H3/zm1+J1xgw1E7h4+RpuXrqEN65exa3v38Kf/+6fQ+sGKpcJVAYAfS6Re2pL2M6mvh+Dp9Ist5RpPn9cHuybHqvFCqdHlPG37ZDx888BtNqFUCiLGh/6BWrzfObDr6HKc9hR9vykJoQi5U1rIESXqgvOGhgz4Da0rmH66cYMN2eoIbKscfuvW/eplE/KivS7BrKpOI7U09SGdw7WDi3D1WqBBw9uoVkvYqsR8PG+PUyI4pyB1rRWn47HgSYU6L6NJjSEpJ5vCOj6NabTXRwcXEMIAUdHd9B1c5ieuClkBLSNJ5kY+8MtLnrPKGfd0ShqtyZ5V66WcfkcQDpDAGojZXEE0FlPeyo+5+a0QTUtcfPjN/Gx557d6sq5/OzhY4tqGGUkzEEOIRTOnXsGeV6iaRY4XdyHc4YyWAA7e/uUscfMHYhVPDFUPgAq/6dx3Lj+SX5XwGOQ/PXWASJDc9qibU8xm+1ivrcXxWhqvPCR5/HLH6F1f2dxgve+9x6KutzwLU9qxCBokGUCs9k+nn32DQDA9Vev49zeDpz3+MEP38Obf/Im7vzoNrpujfX6lFpjkXNhujfDlbjub791C/ffuY+mWcEajaZdJvB5VU0jeF4jA42dL49PCVjYN3j33X8DALh3n8jDgvfIpIqTB4IqUEohVwWMYZxMwNWrL+P5Dz+P/cv7H3idjy/137iM44+/iO/80XcQXIkso0VNamLMGUx9cCpV9ciLMh72PMph0DUt0Y/WRVz8CsqqOIZCH6GsyyjvKhMS1sT+7pjBymriMT65v0DTnEKbYZSNypIfNLa3fal/vV6ksj4RI3BPVqLISzBHADnjGi+//Cm88NEXcP+d+3jwHmkL9IenCa2cl5GyV+cJsc5GDHg2jTHyQbA6WWG9Pknl3L29i1BK4XRxhLv3foTT0wd44YWP4qt//zfwpc99Gs9fuJBKu9Y5GGuhrYXZksGLnNEwg8qTAs5l8bqJGrOu5zg5IZT7ZJe46/Mq9vWEhXRxwiC2Sbz3gAWEHJ4Hj+8BsezN5BeRlnUZHd/6ZB17bx4heKzXC7TtkkaAygnOn7+aQD4qV9AdMWXlT1Hy++/+y/8GP/zBX6Jpl8nRAdT62b2wi2lZ4mA+x2c//wncfusWbv/wDvpOY3W8TGt6PIIFbIJM80IBepj7ZQZEBjfqTmN1ssbi3gmaFV2/tRrOmlRu5jVBo0A5XvzoTXz5q58BAJybzWCd2/idT2plUUGbQQfBx4Oq9x558BCxvUfypwbGTFFUZZzxps/EYD7q2Q9tOu88HsbcpNYQE3hZTxz8xyssjmkfLRaHOD4mvBFPhohMwmPQ+uC2BK0PTdwCTyFL+7AN7UIKchnwevHis7jy/HXc+fF7OD6+nZwGQAEPq8mFOOKtijy1xVK5Oz4f3usE2uNWUD6MfmlLQLHxiC8I7OaMowAhBkCTnQle+uRL+Nk3Xt4a2MlcIww0zvMBLe69RQgOGQSm012cO7iIZrXG7dtvETPfEWlalOUkSu56ZA9RUzOoEaC9XpR5YmksJyXa0ybRnHPQ5yxxl6xOFyjLCQ6euZSmxq69dBW/9LMfw8UdGhX+/W9/B4vDBapJtcme+oTG7eKynODy5edx5SaNQU93pyiUwp3FAt/7s+/hvbfexunpAxjdpRb48e0jAATArmc1rr96nSZrdqe488M7OL5/CNELdF2ffpcQAsZo9N0aPvioS3OIplmmUXKVF1AyR1HWyDKRElzFo4fewUfQ9f7+JTz36gs4d+XcY4Gtjz0R132PL33p57E8XuGHf/lD1DktoizLomiAoYgwEymKEU4iL2vImg4A3dE4IJOd8Dx6lmWJlAMgtL4q8gH57jy6VYs+PnzucS+Pllger3B6eoi9vQsoiipFRo/KbIhn/+nAfavVMViTm7K0yMwUey2UoRPL2e7uAV782Iu4enAe8+kkZfxvfesttKsOMmaDRTmMqbAMKRBZqdzA1tU3PYEX2yWyTKCKvco8z3H/3ru4c5fkX1+6+Un8+n/6t/CVX/w0ruzvoRjRE4dIM7wtop/vm1LyfdkUick4nJ4e4ubNT+Azv/Kr+Mbv/jaOju6gemeGybxGHUeaQkTmTnamiY2Ke58ykrtsvHcuESKgbXWyxvGdIxzeeoDFMaG1dd9uMNM55yLBlMLu7gF29vZT39x7j7ZdYnf/ANfPn9/6+r/97a/TNTDn+xjZbV3qff7siy/i+1/4GNqvfRPr0zVWJ0OGySJFzjrSWI+84kxrPMai8CHlHU0ILI+WWC/WWC2WqW/He4ydHu8dJUtcu/ksPv+bv4SXLhGgx3oH52kcUW9Z8Tm4cA2Hh7dGnOVjtLJDyEI8fCj4s1ajdrM0kgRQgJ5XBSGwLZPU8IjrwMbI/yYCpj7+DuK2P3nwIDHHNc0ijdECsf8cBtngcXA2jISaDSGVbY3wGQNALQQKWijo9zTidW6Oe+8IrFYnaNvVUGEINGdfTauEzicaVgrahvckWtdu3UN3dP2s6ZGPQKHOOWRCbVyjM46YA6M2PVeann39Bn7pkx/Glf19LJr3AzSf6NrlozkQsozIbcoouFTUBZR6FQ8e3MK775BQjDY9blYfQ1EVkYjMp+pWlmXwxTClkr5mXWQltXQGdhp95Acw2lLymFfYv7xP1Y4sw4XrF/ALn/sk3rh6FbdP6Lx9N5LqBO/THt3GeHxzNtvD1asv45kXaD/VsxrWObz93bfx9nffxioy+TFjYAgB92/R5E+zWGNnd4Z8PsF8Z4r9y/t47o1n8eD2EW59/xa+9U06W95++7tw1iCAqNWZbjjRX8dkScoceV5EJH8MBmIi1nVrhOCThO/lyy/g3JXzqCZD5fFR9ljH/4O/eAtf/Duv41d/4xfxW73B3R/RheUmRwiTyBKk483CxiJl8IoQWZwD98TH7zdBLTyjvIoz7GMzOs7wO4fVMYlFLA5P0DSnUKrA6z/7ISwOT/Htb/8h1uvF+5wUPxAW2dnWCD1pCEEsVOIx4IPQe5vaH1eeuYlrr1zDJGaC7hc+nK7hzT95E83REpPJnAA5kcRifFjxfHffEIqb2e04KlwuKZo8PT3E3Ts/hMpLfOITX8KX/6NfxZd/7pO4vLsLJTfVBJWQEHmcG96y3Mua7BDDbCsAWGewWh2j7xs8++wbuPnxm/jWH30Ty+URDg/fRfnWBBeu0jy1KsjRMSiPF2Jid4uo2yLyUvueyECWR0uc3DvBvXfu4uTk7sbmStemiphhlphMdrC7f56Ci3jA9MseIXi8+NEX8MLF7ZDNANNVM0Bt+LpzFovDBdY9la6nZYWv/vyn8OD2Eb799W+jb3ss41pdL5qNUau8UFTpURImjqUCSFldFumZ1ycrrBYr2l9GJ70F1plPnPSgQ/Py9av47N/6DH7mhRfS10UmUCigNxa9+eCxnkfZr/+D38A3vvYN/Pj730s0pfT7Q/yfMo7gHQUYzsaKW5bK2OzwGNnNAjNSyVTVAagKQFz2Du2qSwHQ8vgUy+VRUhZk/nUpVdImZ/ApAwXHxqDKpwX1jt/ng6woaqgijyNtDsvlUdqny+UR5ofnMJ/vI89L5HmFPC9RFDTxM3b8zHUvZJZYTpkjwSWAW1z/PgAiSy2ERB6lJC49T07qUx9/HS9dvoxV121wOzzxNbMgmHMD8ZBUqTqhImkT824UVYGDgyvp2vu+QbtuiICKr0VTcKtbnQh/8jJHUeYjdkubWkHtqkstPucsyrrC7sFu4si/eOMifvVLP4/XrlJG/uYdqjac3FvQez7lsw/BI88nuHr1ZbzyydfxzIv0/nvTCdZ9j3f/zbs4OryTqsHee2jdIssEDg9vAQCWxytce/5KCjzqqkR2iaiI3/rWW3jvvTcBILVKOTmltlcAQBVWqYaAO4vJNf/dBwKdUrW5wnRGjr+eTihpbrqNEc+H7bGO/3t/+n3c+uoJvvD6G7j3lVP80f/2DQDEXiasRF3P4ihZF6PhSMAymmelspiAihSPfdNjKVapDMqKXcGHyM4V0gHjowgLl3kA0MiakHjt4x/Fx774cfzVH/xVOgjpQY/7cmNWo6dx/Ox4JZQS1PsEz0q6GBg41PUMr334Z3Apjs5MyxIfvh7RtF+gEvWf/eHXcXx8G9PpHpQqNu4XEMdoMgmbUNsWWvcxAOjTAbhcHmE63cNnf+lv4m/8g1/DFz70BvYnE+RKQTx0SCkpoa1939efxIgGNpaS/SD+onUXJZIzXLz6DPYu7uLyledw9OAWgvc4OroFpmOd7exCKkGKc1FGdoxw5gOgqGijOkO0q8d3T7A4Pkrse8MYaextZTJ9trqeYXf/gFjTqhw2VlPaVYvL127gF776c7i8u4vtLaSSK/fTAGpdLY4PsWga+EDc4dfPn8eXvvizOL5zjLe/+3Z6prrTaJYrBHhkoHG9PM/TVMtYcdHEuW3Ta/R9m65Zmz79va5mUBFfQQeBwXx+Dh/7wsfw+Y98CFWew3BVIP4HAIu23erK/+Hf/DIOLp/D7/7T38P3//K7aaxv7KwAIMQJBecMus4SARG4ckG9Z87yjbYDz/yoxWWjOFUIQLNcp3HN5eoYJyf3cHJCyQY9B56SIEfJHCKPO+D/bRz/wz/LTppIvUihTyqB6d4s8trfR9eymh2VbKtqiqqaYjKZo6rmyPOCgrIofZznJb1mWkbci48tD8KEMPGPkDIS4IhE9T0mSKqmFV59gwK/j16/jkIp9NZuBO1PYhyEUEVhGDvmMT9SF6VMlLBILmmGXL9O0zPeEcL/3p23UVUzzOd7G/LjHOjKXKWxPyFEXAchZfiM+5jvzVHPJygnNA69e7CLz33+Z/Dx556DFALaWvzovbvpGsaV420thID5fB8vv/YxvPIzr2Bvj3gQcqVw+823cev7t9C2JAFtNNE3k8N2WC6pLXV0+wjOe4gsgw8B1pMw21vfegt/9se/h8P77wJAoq4nPAiftR+MyWH+HBphpaBDqRzT6W4aW/Xe4/QBYZ4el/Fn/7YR8Zmd2Zmd2Zmd2Zn9u2Nn43xndmZndmZndmY/RXbm+M/szM7szM7szH6K7Mzxn9mZndmZndmZ/RTZmeM/szM7szM7szP7KbIzx39mZ3ZmZ3ZmZ/ZTZGeO/8zO7MzO7MzO7KfIHjvH/8Uv/odhMpljZ38Pl194BpeevQQAmO3PUE2rRJAhpUhMT0lWdcRKNlbpUkqmuc1MZFBxVtOHgEIp1EWBOh/4wEuloKRMs+g+BCgpIbMMbqTEd/vkBH/2jX+Nr3/tDxKFLM/QXrz6DC6/cBn/9X/xD7caaC/LOhA15w382t/+e/iNv/sVAEBdFLDO4dbRMW6/dQvrUyJqyYsc9axKJBwAgBCQlwWEEphPJ5iWJao8R86a62NSGilR5znyERGPDx7WefRxjr7TBto59MZscPCLLEOrNfp+YLzqW51mf511+M9+89ee+Pq/9KW/F0iTQOKF117Fy596GQBRVzIDYVEX6NY9mmWDoipozjby6wPEz69G9yKEgOA8uqaH0YNuvcwVnLHo1j1MrxOzGxP/sEKbtw5d02O9WCfZ2q7p0KyW0LqFjzwCAIhMI3jkRQVjNN5557tbPfuDg6vhuec+jI988udx/bUbiWlO9wb1rE5kNfV8kvj5p/MJDuZzzKMM7qQsNlQRlZTYqeu0ftjqOOPsfICLjGNKSkzLErmUWHb0PO+dnuJkvYb1DkpIyMjzHkJAozVWXZdIQ7IsQ2cM1m0H0xv8/S/+8hNf/5e//B+HspygaRZYr05w7VlSKLv07CWiE47P1UQqXt7bth+khpMmQdzzG1StI8pafu34T4DmkW1v0s8x82FRFSTnah0yXtvG0lkS7yNRep+gOW0glcQ/+u//q62e/Ve+8p+EvXMH2DkgGljmhnDOb/BuAMTVIKTAzrk59i7tJ279vMwTVzzR3xI9LTN18iw7cZYQLa3pTVLrDN7DWZ8IzpJiYUbkPYn7wXvonmjM1wtiDTy6fw+Lk3vo+jV03+Hb3/n6E1//3/73//OwOl3g9PQQz7/0elK9K0o6k6tZjenuFNMZrWMReS5yKVFFhtB0ZgsBEvsTkGKQ9bas/eADrHPorYXzHp0xsI64TXpr0x6xnlgd+XzwPsAaYvgTknhCHtyiGXrd9pC5QrfucHT7CP/8n/+3Wz37t+7dC3cXC9w+OUHTdoPSphzUJnl/7tQ1CilR5DkmRYGdqE44KyvkkTZdZBmkyKCE/MD5fOtc8mV8Pzqjse77dJ/oT4/eWjR9j9O2TXt7TMvNqreFUriyv4+fv3nzkb/0sY6/qqaoJlPM9ufYOb+D2T7Rxk7mE9LgHtFl5kpCSQnU9AH54XoXN4rMNg4rEWUI2TIQtSzzzDvvERAgsmyDfcpHCUslh00F0GK7cOMinnv9RXzvL+iGkaiJxeFt8VRkDvz++/uXcPXmleSk132PdU8Oj/XSpZQQFXFpez9sYOZLris6xPnaJOuqx98TQkAuBC2CeH1MQuG8Tw6kiEGDFBm0dTDOotMGxjpikWp1YoRDpAPN8u352o3usW5OMZ3sYPdgF7sHRILD1MN5rjApC+xNpjDndlDldAgY5xKJTG9sek5jQgttKThkXncpBbqmg8wb6DYnJ2IssO7gR4etc4OWNZGLEG0pkV4IeG9RlURkUZY1lssjaNNDqe0pi/O8ws7OAXYv7qGocuiODn8+ALMsSwIrwLAO+ToBpPXO35cx0JVRlISdtIn89WL0ft57rLoOSsp0ABZSIlcKVjto51BgU3rajwJh/r0ABqrcJ7S6niEvC2jdYjLdJY1wDMx9Usm4/7PkDG1v0DV9clRidN1eEdUu0fYKBOEHLfIRW+dYppn+DQS7qcnupEO37sCiNyHL6HVuJKYTJaCD9xBi+2c/mewk8hMhRNK5l6O1yEHsZGeCelZjukt/cpArYiLE61VKSbLkUaqZBaqMtvDWwWdEaezj8+Rzlc1oZkaUkZI4Ep6FDCF+Lr6X0+kuMep19dYiRd56GNOhqqY4d/kcyoqlo+XomdJaM85REiMlCjXQCfv42VUMCHi/yPhnuocIcD6eB96j0D20dRQAjM7rLMtgpEj3MkRHOCaC4u95HyBBIkbT3elW1w4AxtJ9to5F5yKrYEbPoIhONZEcBZ/ObBtZFtd9j8I5FErRXg90VtMZIFKyy3tUSYngLIynpNaHAOtkIl9yIM2V1hisug6dMRt0xGPhIxnljL3wMPaDdGt+guMvywl2zs1x7plzmO1OE2NTymaBJEKhpISSAjJqt/MH4wco0gEJyKjjPnZG4xsSQojsWEBvDazb5I02wPuqAdOyxM7+HDdeu5EEct758QLL5QMS9ngKy0AsYZPJLubn5mh1FI3wHk3boVu1pLInMhhtUIUSUgmIEQ99Fp1YrykyK+Jn9iHqVScOeIkyV1AjvWXnPULcLC7eK3YCGTLk0Sn4yE3OG4wXwfq0gZSUlWJLx9/3DZRU2D/3DA6uHWC6R5uID59CKWTI3ueUagwHeKM1TNzUIjp5eA8lBIKUKeuzlqhBlZLwhUqa40zhyc8+L/NEE8pRvzUa1vZRMGYQZJnN9ohed3E/cd1vY9PJDs6fv4ydc3N6blEURIyYzcZON8syqkSNnLcUAkoK+AAoIdKzF1GXngNazXrv3qfDwHmPRmuI+L78NfozpL/LLIP1PmVK48NXRlpopl19UisqEswq8gpK5YMKYLzvIQT0TZ8EXbwnxkGjTXqtygc+eu8DpGD2t2yDB54/Mx9e6UyIQQYH0MKL5OByT5m/UOxUaJ/xa/u2R7fu0K37pBuxjVXTCvWsJrrlbKQfnxHTIH9GlatU6WL2PA5amJmUqxIqHxxgJjJkYaTM6DxV5pSEDEDmM3iXwWOoCgXvEUCBUpax7oFA8ESLrHxAF6gyJESGqppCCJnYRp/UiqqAXOXY2dnH/Nx8o3KrCgWVKxBz8BBgVnmOKs9Hjkygygvk8WzmPaHinz5woEoBbqkUrHcQGaAEsQX2WZbODCkEtFKp+sMBKK9tqUSqtPRNnzQynkakRztHjtz5xCQIIFWtOHnxzmEdAkql4BQrd8ZzSkoY56CthRSCqnghQGRALlVKbvm+8s+5eIbbWAkeV0kMAG0tOmPQGZMYHr3zSbCIX2ujeu26GpQdH7afuCrKaYWd8ztQRb7hqIkyMtKCZnQQSSHgESDjwx4bO3JyphQJ+hA2IxdQFMnvFSu+cPCJcTcEpO/zzygxOP+DqwdJWOHk6BBad3jw4D30TyXPSTSx0+kuiqpMTq7rNZpFg3bVRfEMgbIukEkBmavEnQ1ERS4lYaLD0tamhyqsTZGqEhLOe0zKAqWiA6fMFXygKJQP/05TCajVOkabdC9CLqM8p0yRro00sEIKaP3B0d+jbDrbw2Syi/NXzmO6Mx1pClAg0ziPqqS2TK5y+BDQGwMRFy4AtFqnA4LKd1QK5khabkTsxFNegA45byWsitFrKotSaZV53wFSZcvzClI6WKvRdqv0npPJDvGGt8PXntQuXLiOi89dQj2fQIycCl8Ll7eDI0EpIbKNig4AGOegpIjlTQ9Yeh6d2azAcHAQgk8yut57GLepbGai2iJ/BoACa2MtXPAbgSMfjkI+BV1zDG5UXkDK4Tn5WHrmKgtAByKXq+EDTAxiQgjJ2bH0qhCk+CYecvwbFkKk7d78njMW3lGSIeM9ZWeoe0PPIq6JdtUlLntv36/f8ZOMHUbKTuMRJZRAXqjobGTS3RBJd2OT1jiTEnmhSMJ75LQwKj7ydSSpWuvgLJfxQ9I2EVGCOK09JQHr0noRItv4HVKqpCGwjalCoa5nmO3P6Z6OHg9pL5DK6LyqUChyYqVSqHLKhPm+cWVLjqrCbFy9FFkABAVGsOQUfUwi+eeGZ0J+Y1wmzqRAFlj3oxj9GYXdYstzG+u0Rqs1yUN3BuhYUE2hmpawud9wmiq2OESWQce9qeTgm/gsUEKgzHOIDCngt86nnwkILMMAANCWSv4AUrbvvE8BVm+ILn4cmAFICVFwHifVBws0Pdbxk8BCTuIiSiThHQApCmbHy07t4XJGoVQsC206Hi5LjnudPpADtzFaUqNM4+H+39ihOEnZTaEUJjsTnL9yQL+7qDGZENcy69lvYyovoFSOvXMX6KHzgd4bLI+W6NZdUhhkAQ3dariRDvVkPkExn6AuC+xNJpiURTzk388DHhCgrYMPSGUxcqTDQcsZoBAC8IAODl2v4a2LpfAsCdVMdifwlg+O7RzApSvXSGp1fGAB6fBxzqUynrGWMvi44fkAKKJ+APfvOBNQYoicAVoLrdYUZVtLGUyRp4yuWVLFpm/6oaTuHLqmRdetkDTDTZ9kWKVUKIoSRVE9leM/d/4Kdg92UU7KjVKa1RaZAKQa4Rb4nsQyP0fwNpb/lBS0yT1tdO59jqs7frQXqDw4aFbYdBhQL3T8LIC46QO9X5lzqywgMyb1j7cxqw1MH6jUP5sPXzc2BZOcAWWx1C44wLHcD7dwRkV8C5enAUQRlqFuS46eqxJCxAzbh41sm3HIzpGCm1AmBV/OUIDE1+msS20TxhxsY8F7GG1SOzNZ2pMhXW/wAT5+Lt2bjb5+CCE5fSklZC4TroXFd7x18TVIGWbwQzl7bFzNS4e9oIzXOQdrXfoZmSvksZ20bYszExmmO1NMdqmdy0GfyuWofTGcJaQip1AVRapeuhCoZ+0snKf7lwNQsfQ9Tgq5WhlCQBHvnS0KdMYkcSkfA0uVS6hcwRkHeDovtYkRxQAAIABJREFUrSFVPz/yTULR6zae3RPaom2x7ns451PwyKY7Crjq6SQ54Cr29wGkvTcrK5SxBZI+U7xv1rnk+PNYJafvC1jv0eoevbEbbbs+ZvoDfofuiRACsqKA0PR07nkX0jM33QdLUj/W8RdVASEF6Wj7kAR1TG/opkZRHQsHGfsRNvZ4+d/sqGRG1YBxWcM6t9EK4I3iQwR3eA8p4sGSDYFGCEAWhpsQQoDjMpMQmOxSea+a1Hj3nSNU9QwXLlx/3KU+0kgMZADx8BownYEQVPrizEbGUpSQGepZnQ6AvMyTU1j3fQLwiej82NgJpsXvfVr4YrTZjPcwzlLFJN6rLhsesPceXg/CGlCUqYnRInwSq6YVdGdSwDCOLPlQbbVGn2VU4i8KVEUBMSgvE0ArglUGpzY4Rb6+XhvoTsN0BkabpMtOGzqk8qkQGVROIC/alKQM5z3ppI8FbYDYV82rJG+5jU0ms+is/IaMat/2EFKgnqmYDauoBEaOubcWJbdjNsqbITntLMs2DgXul1I1yG9gAyggGNpmXAYEhtIgvW8s840OQJa33hbf0fc9gStjEDXGHahCpbXtrEtgXtMbGENqluOfyaSAb4Y2VJLnHa19crSUpUBk5CSVQCZEAldlMkvtLBavsRE3YHpNYkER29KtWvRtvxGwbWOMS+IeMmNmJKg9FSz9/tTSgYyVKZ+cjVBiUN2L1VGVK5KxHQG91rIh550NYL/xfUkKjhEDwlUMOmsIa2GNTdLPAFLZ28b24jaWR9ngalohL/N0/2WuNpy+9R4qhBF4bTjPbMxUCZk0up7ozPSoahVAa9b5zcSmLoY967Wm8rkcwKzek2qms4OgEUCtZ++p8smYtG3sZL1Gs27RnDaE3XqfoJSFKS21K0OAERm0ozOdA/ly1PrgPc/JTz/qu5cxEKryHHVRwAePQkrogtoNp1Fci88RIAIB4wFbFoT3WrddWiepNSZFkrR/lJ2N853ZmZ3ZmZ3Zmf0U2WMzfiEp4rbGptEdgHonUgqUdQmHAO8CpBplBi4kYIpWMRIJlJWYmA2NSxkAUk8fGHogAGLMGFKWwz8vsgwZHJXC4VN5VAiBSQT0nH/mHN76nsDh4btPlfFba5Dnsc8awS0AlZwTuMR5ZGVOmWjUW8+rHPMpfYa6KFDGkjdfs3YOagTeAMaodxpVzKVIoJem1ylj5uwOoB76uu8J3FJOYByNuLQr1m+P0sdx3Gkba04payrqfQLbJA3tIr03qgK7cUSxzHN479HFrBcYStMu9quDD7DWwls/TvjSWBJlcg5920O3mqoAvcZ6Qb0q/rrpNbzzkDJHXc9gjIa1erMlFAKEUEk6elsrJyWstujXHcq6TChsZ10c3VTIY0WMAFf0czaOWvI9YtwG41BczJI2WlcRGcz3S2cOSkoUsdc5xsGwpQqQs3CeWl3jdoGNoz/Oue373LHyVhRl7Gn79HVkGUxnoLs+Zel836tJDakoyxJSbJSGpdosmY/LsM5YqCKH1YQBMb2B7mJWUxO6Xo5Kzd56hILaV9YQMNRHICgb4QnUxtTAk5rVJrXINrAG8XwRhUifiUf0VE7tKTnCB4zvAWfnpcoxLcshc44tAuqfS6DTlDGPWpkAYjVEUBXAOjq4RQT3CUEjXOUA8uqbHhbvbyn+JJvtz9Gu2ngPh2eUgMMxgxWxalUqhVxS5dOPXsuv8/HfiGsbGDAwXO3lfaKdS1XCsVGVlyuO/Fni9/xQSQCG8wkAJjvbAzvbrofuaCR67PNcHveVNmgbmiqZliVkJiCzjIDtPOJpLaTI4LxI49h8fb0ZqjBh5NN07NdLkWFSFBstPZFlsFWJTptUNa7yHJ0xaLoedvQ5GSjqnU8VsEfZYx0/g0accTTmgeEX9J2OvZRYxg8BiM4ryCyVy1qtYUZI54RGHo378L8Z9JEhSyUkKQQwOvjE6PUAEqpdjA4TLs/sXtjF+fNXcHx8B3fu/OBxl/pIs1ZDCpVGe04fEE5gfbLG6mQFhIBu3cFZh/LiHiF75zV2ZtNUmimVQqFUwixMyzL1vXkcBCAwh3UOUus068+lwqoAdHQmrSenqa3D6bohVGxZkNOMhxUHKFJJOOvQrroN5OeTmJAU6JSTEt66NEufxcNH5gpVWdDiFwLrvk8glAT8igfDMKJCrZ0Qg54xNwON9Dh06x7luoTVBn3To1m2aS3pLgYDce1JOZoukQpK5chzelZjINTTjPOFEGeFe0PAKje0OqSiEj87fVUoqCIfrjNevzcmlTWnZZlAS/R/ltZ7QEgHK70mS7PPWcR4ALTWZRzh2hzdo1FZ6x366Pw6Y9D2Gt761E9+UlP5cHiqIn+fkza9huOythCQSrxPA91bl8rhGe9LNYCzxiC4EMjJMDKe59e55QMApqdnXpQ5tQDs8OxFbAemg1LR6Fwmsqdy/ADSfhoDBJ2UKCpqV3gXEkcHgxeZzwQY+vEujtP6OB7WCr3x7HwY8AIAT41YICLI2W+7uD4I8BcxEbHF4r1Pn4E/u/chrdltbLY3Q/Cc1Ljk/KSSkEoOmKGIZXGBWo/jaRZgCBq4BTD+HmO3Hk58fAjwsX/tjEGjaRpn1RHvh+kIs8Lnm9VUiufRUgApIAw+PBWq33QmnaNj3Ig1NgFIfRy74xL9tCwxKYs0fjeJbU+ZZQm0x2ZHgF2RZeiNSYmuizgd/j7fpzJXgAFyFZA7Bxc8nKd975yLgGeTPmeeqbQ+P8ge6/itNml8h8FrANIoQd/0yKYVVCEhwLPKAgoSXg7jZ4xQl5mAC9T5UVJGcBj9rgHpmcULCwkZyosCAFSMjPhr7EiUFBAQGwFAXhaoqhmm0z2cHN957AN/lOV5idl8H9OdCRb3TpLj171JWZFzHpWSmO7NUM1r1FWZnDs/PAbBdUbDOHL+Y+AbALhiTN5AJD2c8QFAFfkAhBDorYQSFud35qk3bD3dF1XkKUsCgGbVwloLs/jgfs+jbH5uB82yQTWJhESMWYibrqhLGGdx+/gEAB26VVlgfzpBFR2HEgIuBOjY22LkP83BDtWbputTNt83NJoHH+Cch5BZCuTykgiSRAQ10TiLo6w2Xj87fueo32xMv3XWA1A/z/QUfAB0IADUU3z4QBVSoCoLTIoCUog0rsNcDGVOQQGh+x2sd9A220BB8/2SESzF4E7rPTQfPt4hQzxEE1ZAbZB+8Gu1ZQfttr5+xq4QOnxApHvnkUly8hQQxECde/YhANzCVOT8Q0wIrAmIuL+EVAdiRj06GTmIKOsCUknodrNvTJ+DDjteiwwM9KOZf+cc4JBGkLcxmRN+wzmH4IY+uyqGIEVkkczFOch8NNnAoL1A89fe+wj+zAHQ8zD5gBca8CsiYgE2EyL+98CZwKA+D2cHINc46HLGJdzDtj1+DvbHkxwAPTOp8oQVarWmszdNVYmEWymUolE+ITZm9x/OdF3Y/PyToohkPhwU0mdylvAbfoRiF5KAdtJ5FGUOPwLbAnGtPmaO/YOMA36hJPIwgE75HmRiOI/C6L8xUde67+FCSH1+GQN64wbwO0Aj0Ex6xD4ty4gLpbc2VQ5bbbBoW+joF9Z9j6br033DKEAMzsdR25CqT4+yn1DqlxujOGP2LWYM4oUplUApcygpUnkeQAKy8UwnA5kKRZUCjmoY+W89Ze9KDAcjsLnxGe3OTi8goLdABk03Ojqpsi5RFAVm010Ys/1oR13PIITE8miJ5dES61MqGQcfCKST01zrdHcKmUuqBIQV2t0O0xmVmXbqGlIIigLzHMZZ9MZSCyBXaZF3RqcoEqAyWCLvybKNwEhmGURObQAGfvgQ0GZ6gx9hebqGbsnhb+v78jKHWAuUk5LmmUfPnoA+1NIJIaDIFeZ1jZ263pjnZSAPgwHFaNEzaxdAGUpRFSly75oeuiWWrm7dJ+frrYusiD6CLUPKIF3cVEoNs6u6X6Lr1k/17NmC9zELiOsvtny4dJ1lGaQcmMsYvAkQ2VIx+joxdKmN5wogztvLjUrAeL5XPHR4c9bPv984i1ZrrNpuyLgjYO5pxtmcGTgBKLsd3jPLMhT14EyddZEoym8wdgo5VAHSRAk/K+MS0U8WiMTFJsAXA+rivVF8vjCHSNwfxhKRT8y+ZT4kEbzeVC5TtW4bEzFzt7HKNc4cvfdQmUrz9ByEhfiZxsYlaScEMkHI80xYOCM3Wm/ehfSz1MKSqUXDjifLEDktkJg4mc2PEx1GdhttUrViW8fP1QcpJYSUaUIoE/Q8ZRzRZJ6IXCqUucKkKDamsDih4VI/VStiBYUdv/cbM/1dDCaosiXSWejqCk2soIwrb/z/uLyvuz5dw9NUPExv0Jw2lKitu6GFYGkty1xhUleYliXqooxj2OTTGJBoncOq67DqOlR5jllVxf0sAAygZj7/JkWR1mxvLU7bFq3W6dnlUlJSkWUQcSTYWIv1qk2gTw4gdW/gnYMYAZIfZT+xxx8cjQpU0zKRc9jYOxSM0AVFihkySFFs9DsAJESzGmW5fVzoPAIBIDHRzcoqZUshBgqpb5pIT2iMzcRxHUbRymKTpY8PlN3dC4+71EealDn6vsXx4QP03fV0EDCxhxC06Mq6RL/u0K0JXalbDX8xOvReo8gVZlWFC/M5SpVvOGdGuXOplu+byDKootiobqR7GbNoHdn6uPLBJEG8YMa9Ou5LPqnxaBETYXDkbzKbyqq7synmVZXK1+yErNtE7nPpmzdzmee0HuK11jFTdt7jJCK185KyyuAxUMOKDC4imO2SnkVRFEAIqezPCH7nDJy3sNY8FYGTj4h1nqfmA5ipWFVBuA4KRPINNq6hlIeNWWb+WogBED/71CMdbdQQAmw8FDmT4rZBLhUAS9l9zDSNcwk/AZCD0p2msu2W+I62XaWJiOADfMaIaUoCeFqAHSKxVfo4hhc/vw/w8NFJjTA72UDlC8RxsPKhUd3xJMIo81VKIq8KWmexD++tT+XYVD3MiNWvmtXYOb+z1bXzZw/Ow8f3GRPHjK+D5/e9CxAyBkZiuC6eg2dClWx0zWPWOWdpjDXhJQQggoDH5pw2fS+OOsbgL7HpiSHrY0pf57Yf5yO+BB/xXUPZeYzXyBVVLWdVlYLcMefEuI1nohMfl/tTQCslnI8OazT9M574AWguXsW2sncOMkg4C2QZTy9tru/giXznaeb4j+8eY3W8glSSAtl4/6a7M5QXSsx3ppiWFEy2uoeNhDycqQNICWuIyWzT99DWoMqLeF7HPepo0iuEQDTePM4Xx+LLUUWQKgVZmnpgHpzF4QLO+TS22rc9jRxn2cZEwsP2WMdPIBsNVeQ0I85ZTzwIdW8IlBMP4xDJZPJRiZpe7xPPMGdGzMvMVqocuVTojEi9UICiokb3G3zFDMCwvSEWLCEgvICsJXRcuAAFA1kmqM+y5QZgs1bTbHIIG1SReaEgFM1QWm2QiYIIaOoSRhscvnsfQGQYnJRYzGr01uLizg5mVQUXAlptUMaNQ8yHMi14poVUQsDECBJA2hydIaCH9S4S92yCzAAiV7GRA3xbW52sN8tmvKmVjHzQamOBs41LXiHQWCaD1tqYkdSl2wCvKClp1CVuVhMJfvIyR17lqGzkPy9y6LaHjiV45pWQKo9kJcM4FdplLLM68Jz/NtZ3HXTb07jU6L5yxsPg1rKm/l4eR3PGgReTVfnR4c2kHbSBhyAPWQY1+lkm8FEig4oMXBwcEXBvADVxz1gIAR89b7NYo2966otvWe521sCYDkIoZCLbyJqzLAMMUh9YCAGHYW6egwSizA0IWdy3yTlvHtLOD2NslKWroVceQuq38v7l9oNUEmEUfAiZbfRmGQ8wmddbXTsQHbUr4v6meXQgMkcaiy6uu6LKUXBlJDH0jQKVSM/rjE1jig+Px/LfhRAIWQYRQVneU1tFju4XB10brH0RTxX8UDVoVy2Wy5OnanMZvQkETmV5QyNzhSxQ5nkE9MZeu/MQmRtGGbOMWDgDUEuRet/vu24MyYyMpf7OGPRdl4jc6GeI98CNMn4eM+Te9sBtEIMt4zaqxE9qy6Ml+qZPGiNM1zyZ16hnNVzwuH+yQHvaQOYK9axGGatQvEZnVYWdusasqqCEwGlLlYNpWcJE/hOAAvpF06LVBvvTafKRvTGQQqCLvoAZ+7Rz0MYkoPy0LNFPK5weLTeAfLrVMTF/ylK/bvs4u0jAijFiNYvz89RHjPOtgZCpj0Ii82x+qag0xK/hzJ9BDdY5GJHB+0j9GzxWXZ+cruk1mmUbnS0JXxQVReV8eHCpX6XZUwmttydxKYoaITJDSTWUd7mnkigTo2AN/96+6RMeoF93UEWOvYu7aJcNuusa52dzSEGoUD1anIVSBIb0HjuRGStkRHHJgdCkoIxn6hxmVRV5E1wCyK37PgU+5aSEPl6hWTYb5EtPYt2qTQc+lY6GZ58XhNdgUqZJnFxQD2WmY+cOILUFlBQb183B3OnhKRaHC3jrUdRU7WhOG+g4j2o1lXd1q6m87HnOXqCqpoRliGV9aw2s1ej7lvq9W5qxGkYTwIx4K+gwLKoygacAemZVXiT2MuajAN5PQ71xT0YHOoNTs2zgM/cZvbbMVTo4pRDo4zPmtc7On//nw3992sB0ZmPu/knNeYumWaKuibGT+dr7ThOY1QxO3DmujJiNTJaJaxKHOJP48DrkoNIPAXUWyXuUYsY/hUxEYJ1xaZZc9wbOuAhAzZGJuD55Fp55D6x7qlK/GU1l8AQTQHiBEAJcco55egbwAaocgqyiLqEKEp96uOQ+Bjyme24HrnUrgGA3HTYH31mWYUyWQe9FbQZu6+iuR9OcQuunq3TlRWzl+YCioOdJYFpBmiwRjwAgtXHLfKh6AUjEVUpQZjou6XNcYZ1PYGAT+/dCCNRxQojFqfr4Gu98wi1IJaBAjpkQ7IOYEbFL2sc6vsddv4hslUVdjJ5nAdNptKsW7WkDoy3yKke7pPbvuK1W1CQkVU4rTCeDzsUsBvBcJZmWJY6bBs57LLuWWgZxKopb2EAUZjM2YU44sE2th51Jqkbz7xpjPh5lj3X8y+UJLugLsLZAs2zSAZoXxMilpEQWe+oysSpZrDH0RrhfyGQnvZKoXYG6KJKjAyiTVREdziNQMtIM5FLCYBC14L61kuSAZa4wrSvirh9dLHNnG9NhtTp+3KU+0oQQOHfuCq48ewNFXYxIIoiwgxG1zGrFY15FOQDslkdLnNxboFt3WC9owfTP9CjqEvOqShl/EUkrFm2baFkLJgDJso2WCDP/sbNVsZxmYma9jPTEuqOxN+ZT38a01o89NF2goE1mFMC1xkDH3hRvWNPpRLTBVkRcQ9/r5ECcdTh9cIrF/QWWR0tytFLAREfDjt9ZKl+vlsfo+jWyTKCu55hM5pAyJxIXdvKBlbQ2Ofyf1Lx3CdVMiO0ovqJiQBonHbS1MDGg5bI+Z/jWU2WGS/3a2hSkSSESWj+XbnD8scc/Zjjzo4qF9x6d1gNLoJRwYSB34QOAPt+wPre/fpsqG+yU2tMWq8UqEqZQj1mbDsb0cM6iLGqUJWFbVE5o9xABgXmRp3HO4IZJA2M6GN3DB4e6mqOaToaxtCzbCDi9J17yalrFtpqFzGXaa+MAr1k0aJdtYn3c1sbsf7wPiopwPUKS4+aqn4iTDciyBATMpIktorj/QoCXAjJEcqJH/M6hF45Iaz2U7zlg4qBRiCwx+fP+GrojA6DOue2yXhZP4mfPCPo8ji36ENDGkTQuebPolOa+fmAWvjxVavk9qQpIn3zd91i0DVYdUZCTtoVMaHdWp9PaJKCt6c0GvoarH7qL01ERINws26cC9QKIz3OE4QAlc+2qSxWGvCxgtcXp4Wk6s3ifVbM6jXlOdyZE217lWO9MkEmBSVTxo6S2w3LdYNE0MMaiXbVYn6yJFTau51Th9B5S0bh4Nakw259hsjOJOIeojFiXJNSm7WOv/7GOf7U6RrNsUc8n7y8Xj3pcnFHQ+EqIc+70Mm4DENtZjbxQiQGQ6XwBQomKLMNq2aBRAmFnhklB6Phzs0FlqakqrPamUbLVwcU+NynaEaJaTWhhNDsTzM/tIPuxgNbbC7UcHFzDL37lK7j58ZvoOz2oyeUS3apF13SJRraeT1Km/+C9B6Ms1aBv+6Tix+XMyc4kSekCA2q/NyY5ziR7PHICKmZ9LAABIAVKvMkYANWu6PNtO84FIIFbdEsIZD78+M/1okmbkNs9zaLB8b3jFJhNdyeoooQtl+59LBG3qzZF6YzQV7lCXigsj5Y4fXCK9fIUXbfGekWTA8ZqcsaW5vaLokpMfVQGHQ7+vChRlVNIobbmKwcQRzVpzeRl8T7nyRUurQ3amPFYT/P3nGcsux65MKiLAiaicdnpj1X8GP0sRge2iNMBY3U+Bj4xoponQ2RGr21HWAKVK2hBGJjVlm0u+v00HmmtS73S0wenWC6P0PcNrKWpCWsNtO4gJYlZ9THLLIoKZUnZTpbJFJCE4OGcSfux79bodQchBIzRJA6VFzHYylFUg0qe1QblpMSl5y4REKrtKdCuSqxP12gi30OWUea2PDY4Pdyeqnu2NycZ4CrfECTr256qEpkkfRLroYrNXiqfhczWBwgEGasEIbbM7MAOGMIQHABUpXBuYOHblO/dHNHir2VZRmx+MQAo6wplM4HuW9gtnV9eKOoXZw+JKf3/7L1JkyTJlR74mZnabuZ7eERGRGbWhgLQ3cNBk3OYC2Vu/OUjwhGKDDky02xsVZXILXbfzG3VxWwOT1XdoxpIpCePLBVpQaMQFeFui+p73/sW1aPclFpCRxC3If65rgvfZxjFdL9nWQrPcREFvibAESpAfh4Se81I35QlnsoS5b5CvW/IjVPzF47DuRzHgZTU8PVKwQ8D+KF6du4c5GxUsBvnvVOXUbGJ9kCuA4C6qNErXUQ7DrqaRo5t2WBzv0W52dvmKsljpJNMq5BiJKPEHtBRGkGF+l4rep+rbYXGbSC4wPZ+i/XdGm3Z2HOSN9QAsYCI5HEWIUojNGWDfJohymLbRJn46l4pfGrb++TBr5SwhzYLmGXzGvjD85mdedJF6/VBMdiqPRklBwje98AYzQ1r3tHs3pDGOoIly82eErBUDzXOrUY5OJJIpWGIcgAaDQOLzocSCrU21DBysnySYfnqDOG/xl+k5T4//4rCKhh9bqOFD6IAra7M6r1mgNYtbn+8xdOHJySjBPmcPM5H8xH6vsf2gR4Ox6H53+RsTASkhKo/BzTW8FwXggsUDv2zrulQ7ip7SLqeZ8k7AB3yHnORjFMs5hMAsDMnNU5QrAoqNoJP3up/sxzHBefczhQN3GnY1LuHLfbr/YFUUndoywb7TWkr1cX1GcYLgouNdbFjbJ6PKlLzbBBpi35/Weyw2z2iaUo0zR4AUFU7ABQXzTwfUgr7zxgLaIZqCiQWwA9CBGGEstqe9N2BA9ytlEQ2dqCUnpMfz+u18ZCxDCVI8/A7Ws7RYEDNOTopsa0qe6D3R2Q+5rqWEWwkjyZ853i5rouAeRiGA0HKcEGMjNXcpziLIIVEURU2p/1zF+ctAj9EnEVQQmK/pTFZWW5RVTs0TWlNkVzXQ9+TdbLn1RYZ6XuasTLG9KxeaI26CwdHmm9d7NBYpkahnqzBj+9HiCIq+n0/AGMBeCcQRgEuvnmBq19d4fpyCQD46ccPeATxapRQCOIQ4ScsSz+1zCbtakjdFM5+6NsAoV4cDqZe9kTI0yoo87O+DjYzTYA5qJVSFqo/HtnY8VEUYNA+AnYkomOGzXI0z0GJo39PIx+O5xI5VQrgxIySvqfGLUojncRHv7vcVWj2tY0HNmiIUsQhipIIZy+JQK2ulxSxzhmySFkbcpMqaQy+as4JBdPjtKZs7CHXNYdGzfNcq95wPQdhQgdfEFKex7FyhQUMURrBcR001enGXZ7v6QKDkCpDLK53hHibc83VB2wQBUgnKYZhQLmh92S7WmO/3SNKYqSjBF2dW6ItCyjOHIDdB6ptadGE1e0a24ctWU5bVEzA86jYMkXF0A/Yr/cotyWiJLJnE/FIXGuI9bfWL5a9v6xf1i/rl/XL+mX9T7T+jnOfZ7WXx7DHAW6hEAeXkbWvkooMDlwPTFdGlPBHVpXMO4SZcCFRbg4dI2858lmOcluhLuj/Cp2FbroC4GD+URU1Vh9XqPc1/NDHaJZjNB9hcj5FuqTKNw1DTC9mmEyW2KxPN/C5eHmJcrNHvaue6dhJc+7DZaT17ZoO92/uUDwVWFwvcPbyDOPFGABJ0Ya+x+xiinJbYXu/wd2bO2wftpBS4epXVwCAfDyGzxhJ9GSPVnZQUqHclLh9c3vQ4/e9tQz2Q8oCTycpJroDCeMQsa4omUZkCGI/He5njLgKns/s7JLvGxSrAk3ZoFjvUTztbAZ217boB2XnvHVRk+GOJnYpIdFWg+0Wjp8pJRSqoiKIf1dp/b0msemJqMkYj6IErssgJUffSzRNCeYxMP/ASeiVhOf5CMPkmcPf566qKhCGAsPQI0oOzHApFOp9TeoDY7WqZZ3JOMF4MUY+Idtaz3VJZaJRAd4Qy95Eu5r0LMcjm2mlFLqqxX5TotyUaEqaU5oZdj6luNQojRAmIVpthgTQvJS33D6nfhggjAgFOSb+fM5qmj0mkyXNMYVC12iSVVeD8xbDQIZJgreWf+C65KTo+xrBcg46a8+jzpa5gR4PBpbcRp2ughAdOG/RdbWdS7uuZ+WZYZiA+QF2uxBd0+qZa4N0lOK7i3Nszqeotc9GVVSEUGoy3qkrzmK4roNOR0BbPbUh8WqNtCEsKqXgDi489jMCn0b3/NDX83odMObgIPszSJqJ4dXviZQKvSJY3ay+9w5eCcOgI3z1/uwdPFGCSBONXQeb1Wm9nUHjHIesvkWpIXQdmtWWDZqytd2rRSw+bgvGAAAgAElEQVT6Afs1oQsPkY/ROLPQv/lcgPGgOKh54iCATMgMTkllx6K84bbrd10HydhEg7vW0Ec4DgyOa8abw0BpmVEaYb8+ndsSpZH1UXBd136Gtm4hOwGMEmTjFNk0RzbNEETkEClaSmwFgLu/3OH+zR2aqobkEvv1HkEcYPZiDuZ7uHpxpr+XCyEk9psSTx+f0FYttvdbm3Bp9q0kSzFZjrF8tcR4OUE+y9HVHR7fPeDx/SM2t2v7nGTTzKIhfv63LYs/uSNm2VgT5A7yGQDgLcn4jNyv17aw9V5byMYhAgM96KjcOIsAx9Fe6wRV7552do5qVALltsT6bo0g9HH/9sHOgo83Ct5wOwNhzEMyTtHs6SBqyhZxRg/c1WyKF99c4PKbl9huH059BjC/WlhyWRAFFkY1ZMYwChDnMUFTGh4bzUdI8thCfq7rEFO9H7B8tcRoPsLDuwesb9d49/t3yGc0EnCXZ/BcB/umwe5xB8kFqqLG+nb1bE5pvMwdx6QAkqynrQgqitIIsb7hZnboMReyPm3eNQw9kjy14x3zAjRlg6ZsyGGPS/3AdRZuPCYUiU4Q+1UoSJdgcVMwup4Lrn9nVdQoVgXWN2si+e0esd+vIQVHGMbI8ykAGj8EQQTGAj1fb2yBwEUHIfmzQ951PYRhYuHiU1ZRPCHPp2DMf3Z48IZjyzdENNLjCtFp1YvvYXw2Rj41fvV0MIRJiECPOoIotEScakfQoHkH2oreof16j2pbQfAOYRRhck7ff3G9oCQ3qcCbzsK9nufawswymRmZTMVZbKHmz12ct9oNsUe1LVHXNE4xfghBEIOxEEK04Lw9mvdzOwIw8/8gkIii9MhRsT8w4UHPmZWN6pFB11aQ+hkyvJpAEwd9P0SvJJQSKPRGO/0/UiQRFcAAFdtxFttD7NTlhz54w7Ff7dGWB3JgW7UYL8ZIRjGlcWozHePZzwL/WYy1icrtFUXHWi8H14V5TAfL83AwOIDgCl3LbYNzXLAbTpVJ7VOCGi3rEuobDhKz+wJvT+M2OTp11PCLjHmWUSdANxeOQ3yEQRIkrqS0GSH1rqID0aGMeuPkR0Xq4d6bXAupcxYGPVZ0HAd+5Nu9x5DXjEW2jYDWIzbzDgB03rCgR5LH9j07Zfm6UeWteKYWILJdj1HAMFqMKKdGSGy2FYROFzX3LM5iLK4X6OoO+22JrmnRtjWkUJgsJyjawzNlfBOqbUUkQcGRjXOwgNlzLJtmOLs+w/L1EmEcYpTG4DqNUQqFmx9u7JjBXKNAE83/1vrkwT+ZnCEdZ9aSEjju0CRqqYjQ9rTD+m6jP3iLIHhO/DARj8cSA495FMNqtN15gjAJUTwVuPnhI5QSaJoSZblB05TgnB4qpSR6JZGkY8znV1heXCMdJfB8huJph7ZsMDmnWffLxRznixlefH2BuvjtZ9765yuf5QiiAIJLeyPIuMglx6hhIM101yBKI2wftrj96RbbpxVdYBZgNKcCqtqWmF7MMH8xpyCIurMPlpG3tR0nJcAjzdDbqrXfDwCSYUAQBQjiANk4QzbNLMegazpbXQJ08Jy66ZvV60Pa8DkM4mA2AuYzjOYjMN9DvW+w051/sSrsTH73RNyQru7gMWJfz6/mtmApN/Rztz/e4u4vt9hs7lDXe9R1gbalObLvR0gSMmGJ4wxpOrYHehjGYCxAWW4gBQeX/KhDjNGjB2Nk23zqKssNIR5h8mzzFR0nlq129XI9j677bgvOG9x/dOG6Zs4t4fsR8vEE47Mx4iy2z5MpfAFg+7BDudljv99am+G+7xEEETzmW3Ld5m6DZl8jGaXIJinCONT2ufT3wiS05MthGOD5DEr2qIrTZvx5PkOez+zvDQJ67j2PNtK6LrBe3aDtKt2hK3De6HtCG5Cn71GSjhEEEXw/OCBkXW25GXVdoO8VOG81wtMjjFKkzIfreraIpOhl8axQGIYB928yfPz+EfPFxJr1mGc1SiKUu9NlvMMwoGs6FOsdimKFvtc6/k2IYjW39zCIA+STDMk4ha87TgNiKX0wG0RAHWXGe8yD0OcxCxjtjS5lkihtFW2IbsYxsqtJWm1yIgwJzmPGBVA+kwiygA5O1z2t622r1iIZz5jhmph2/tUFojSC6Mhzo7efmR/4ANuKuBg6e2E8za1O3XUPUt5Vscf2foOmbMFb4nuFCf07YRxitBjZv22cIXnLUReVNdZCNzzzqjAoU5TFNqztlDX0BqWG/UwALHetqzusbtZo9jV2T4W9p9W+QF3TfmYULuPZgrxH2g51XcL3I3i+Z4v03dBAcEnmeMwF5w0Fj+Wx9SwBgKcPT9jcrvHhTx+Qz3IsrhcYL8YIogDT8wntvfpnu7pDOiby+7Gj4c/XJw/+6YsZklFsYR/XNQ83sRq7prOwpOQCyShB13jgbYdOEyvquoDgLTreQkqylGUssJuJId1dv/4OVUGIgRAdHh/foyie0HUNmmaPpqEXeBh63UlEeHx8j6ena3zX/nucvz5HrwY8fXjC+9+/AwB88+010jDE6GyMF9+8OOkBAGgjTUYJdVniSMuu9caA9nQX5A53++4dRqMZNpsH/PjjfwMA+H6EIIjw7Te/QzYZYfe4s3KkMAmRz0b6mhJcK7kEC5hFEc5enuHyu0ubsa2ERKC7myyJbYLfzYdHrG6e0DWdlTAZ7WsYB8/8+z9n7fdrnF0vNezpWqJIL8lSNEoiSC6xvltjdbNCtS1RFGsUxRN4RwdVnOToupoY3nGEyXKC+dXc5mSbDuH9n/+Cu7s32G0fwEVn5XMOHOz3K6xXN/q6u8jzOcbjBSaTJZJkdDgIjshiZjmOA+b5X9Txt21lITdz3QGANz1ZxequxIy7hmFAtXdQVzvUzRMAk+4YoCiesNtM8eLVS2R6DNA1nU0d3D3tsNncodg9QelDJolzZNkU2SRDrE1o+r7H7pHkQ0WeIJukSMca2tPwrqnyXV1oxVpadMqazS4wO58jHaVQQtlnr2s5Nqt73N78gPuHt1Ynfvw+Gx8FpYsf12Poe2lNn0THUVU7FDu6RmW1tSz/tqUC3/cDxPEIYRhbpMD3Q3ge0/akDI7rQYgWxarA7Y+3cD0XsxmN15pxYgmtcXawcP7cZfwiSKYoLIpRVTu0bYWyzOx7nU1yTM+nGJ+NkY5Te616qezY5Znls/79xlzG8zx7mBu1S72rrFeBaYyMd4nrkQ0xHeoHe3JXk7qAg6LA806HunePO+Sz3CKrBkFK8gTTiykmsxElzXGB0XxkSW3lrrR5Fn1P70i9q8nyO/JxPh5jnFAR/VjokcC7B6w+rqw2XwmSoAahT4c+PSLwowDpOLUogMc8YtW3HdqqwyAkYA5+44YZ+EjGpx/8jktd/zAMQHvw32A+SdeLVYG3f3xD6F0QgfMWRfGEut7ZexpFKZpmj6J4QpyM0CuJstoiiUfIJxkmWqXWSYnGcxFENE5V2svg/t0NqqpApUnJBn0pihU4bzCdXuD163/Eq9++xGg+0vL6o7NZq12+2LlvNB8hyuJnuluA5sy7pwLbhy14Q3rvyfkU2Zi+UL1v8PSB7tp+v9aH+ApCct2l+fD9CL4fYjo9B0As5PmLGQCCkx8f34PzFowFCMME0+kFfabRHOV+g6J4Qlnt8P7971GWG7xc/QYvv/oOfhRg80AXbL0vschzzF/MbazsKSuMQ/iBj839Bq7nIu8JljchHuZgTbIUcZogSiNML6ZYVkuLUPS9wmSyxNf/y7cEk+8bCF6Ct3TdUo0ixEGIlpdkxKE9uJNxgiSPrX4VgJ2FZRPq9rNphiSOMD+f6lFJZbty3pEGPc5iOwP73NW2FbF3j4yR6Lt72sxC4OaHj/j440e0TYliv8b9/RuU+w2CkDa/2ewSrushiXP4Pvl8B1GANNbGQ7qYqMotoQSOgyybwPdDpOkESgm8f/8HtNqXQHbcFopFscJoNMd4fEaoUpQiCELblfosgFTCMpBPXSbkx/PIwMZ0U30vraRn6AfUuxpt3aKuduh4Ay46SKGlnOqwETqOi65ZggXMjoPMfbp/d4eua9B2le1wOW9RN3s0dYGRtptOslR3RDGiNEIyooPGssU1Akf3iTYvwZ/PiT9nTRZzJONEH0ieLfqaqkRREJI1mZyjbUlx4bkMUZQiSUYHeaXjwmMHgxv6T9j5NNcFAucNhOggBD8ctG1lR3NMIzh5PkOajjEaLRBFOQI/hFIK5a7E3V/uaMw2pqIqiKjQTdIY3SeYzX9r0YhAgHk+kmSEWCNG/aCs/K6uC/IgEJ1NEeQNt4eNd8TwN++uOUyVkLY4N14bjlbOSEEBROa6mWvPO2HjrHuNILiM2Pt+pLkTtgg45BykJ0bTlpuS9gvfQxAdEKRkRPtbVdbY3G/1aJH4TabzN4VGlIYIohDG4K2rO/IiYQxl22K7pyau2lYkCdYeMABQ7kps7ykQ7diDYXYxRTbNMb2Ykiw89NHVvo3lZUfPuNm3GDud2+OHAdlCey7aI8kxQPfx8f4jNpt7BEGIMExQllt8/PgncN7aBuPi4hsEQYam3kMqiWHo0XUNGc7FAaYp/VwWRbiPImuOV1c7W2TSWUn37uXr70ndVW6xL9Z4evyAu7uf8Oan17i+/jXOX7+wBWdTkiwySiM7cvxr69Ne/a72v48I0jbRrOWm1C5rW/hhgOl4Sg9FUWN7v8Hj7S3ef/gDAGC1ukHblBBad+04LhyHZFc+CzCfE7lt+focV7+6QpiEcD0Pd28/outqvan1mEyoQFguX6HMNhiN5oiTEdJ0BM/zUdcFNk8rvPjq2j7s9a7CcDlgPM6wHZ3e9ZnIx6Zs4HoHoseUTbD86hx+SK5RfsAQjxLwhmN2MUWcJ7jQCANvOeaXc5y9PMP2foNivYfjOFZiFR65OAHAOispGKYTEFzg/u0DeMMPvvuei2yaQXYCm4ct/NAnVODbF4j0C2vn7aon57+fOeh9zjKmN+RN79rDI9TWpDcfbvDTv/4ZXdcg8EM0DWnuVS8Rx4RizOdXmEyWSEcJxssJFpdz6lLDEJ0UFh71mI8oTDEeLTAan6HvJSaTMwRxgK6r4Rm40nFxtrhGnORYr2+J3KcksnwKxkIMAx2wACFDREQbvojcpxTJofqeiKyZnh8rGaPeEydh9XiL9ZqqcyHoxc/zOfxAw+28xzAouG5g5WFhHCCfkU7cEFtvf7qDvw0QhjG6rtHa+AZVRZJGs6HEcYbx6Axny2tML2b49f/2PZjn4f0PH4kQxgUqfe8NwiOlPNnAJ59miBKCcyU/zG5dx8PF+de4uPgGUnLs94TwSMGfcXAA2CLM8xiN/lxXB9AwMD9AoEmAQRAjCGL0SkJIfpCICUIIjSmPAwd1VVBxIAXGkyVGcYYgCi3Rj+tNejmfYpKmSIIA6/ILHDs1QuZ6xK04dj40zqFVtdUjigb7Hb2XXd0hq6g5SMYJmM90sIyycdbG/8IUvbzhpDnXvgb9oOA6Jv2th3MkvBrQw/cjbUtLRUSvZ+xhHD6baZu9Khmftu8ZE6yhPyCeAJHelJD4+MMNHt89YBgG7B4LVEUFXxezsxdz+pu6IGW+Z88MkyBZtq0dxXi+h3yWa04UWeQurhd4+y9vsb5dYb8l6DzJUlRFjXJbQXQcZ6+WmJ5PkU7o70guLNL3cwe7U5f5d+IsRls2dt+TQuHh7gM2m1t7TxgLkGdTzGYv4DguRjk1ri8uv0OURqj3FXyf7O45b3D5zSVG8xHGmiw8Seje3I+3CJMQcTJCFGdIktEzq+nF9QK9GlBVZMNcVVtEUYZd8YjuxxptV+H86po+kzYNSifZlxv4mErdMOvNPKPRqUD5dATmM+xXe7z7wxusVrfouhpdV6PUpiuex5CkYxzHpk6n5zr5jmF2tqCLsJwgSiKMkwRX31/hV7/7NYZhwH6/RhxnFhnIpyMsrs7sHMhjHpI8huASq5sVwpiY/AAQ5fEh/e4LOn4AlkzTttzCbgDIivGctJSCC+SznCp/QczUxTV9L6Z1113d4eLVOc5fLlFXDVa3ayKB5LRRBJ4H7rqUd65JK4PqIRSH6zkWHo/SCL/933+Lh7f3ePOnP+H9u39F+P+lePnyN7h4eY3p+cRaoJpqXXQCQ3baS5CmY2STFEEUWI0oQM6J5aYkotOUYPuzl2e4+eEa//Jf/zO6rsbFi28AAF/9+ntMz6e2WmcBQ5wnOqrStRD2eHwGKTnSdILFi3MaBwWMiHKz/4TH96TP5rxBkuXwA4bZ+gK8a+F6DGEYI4wje2gAQFc3UErA/8IZv5TcOtKZrgXQDnKyR1tTV1qWW9upOk6OPCcVCQB9eEnk4wkpGVzXojfmUAWA6fkEYfJblJsS6/Ud2oY6Bc4bKCXha1+KKMrhMR9FscEP/+0H9EphspxqkqVnSacA7BjCdV3w/DSex/EM3XUP9yn1aKMaemK0T7s5quISnLdomhJts4eri6w0HdsiLI4zPQummTFjAcKj8YuJeu2VQhBG8Dxf2yJLa1fsB7qjaUpw3qBpCq0iCBBWIZ4+PNl3JPz+JdIwRKFdEk9dYRwin4+ItNVwy5PZr4l/YoiLAHQjQ4WHaLk1XTFmQy7z7PUyxDWXuQgcnTKo5+iql5CCQypCGlyPwfdDxCkdvMYd0PPZs2Aex4E2MToodwadkwDn4L/xuUvqnAxz6Js5uc88FHVHyKkmFkuhsHlYQwmFs5chZhdUKI2XE0t2bMqGNPVCwG9b7NuDq2sYBXBSVxMmE2RRiH3dotVqFkN8npxPMV6MrT0uQNr+PE0wyTN0QmCrFQW96u07cNytf/73Fxh62kt6dSCHSi7QK4nXr/8J0yWdL3EWwfFcvFp/T8WPVnJl+tAlwx7irZW7CstXSyznU8wz+l5xEKDqKBdgcj7F9//8W8sfMaRhgBCsOIsRxAFGoxn6foAf+thtVthtH7DZ3Fsux9U3r+GHAZRU2G/+dtH7d1shl5EfPsX9HZimZrZZrArc37xH3/dYLC6RjYjIZjZgSlPrUZcVNps7dF2NNJ0gSXK4rmtvbpRE1q5xPsrx3T9/h3Jb4e4t5WKbWZ+xoDUSsjAho5Gzl2e4+tUVzTv0vGc6yuC5jrWUPHUZKMuYypjNv2s58jzF2WyC9lWLd394D8dxMJqP7DzmEI9KcJ3jAKV+cE2YzOJihpG2b2Q6bYl3AoPqcXZ9hqvvCQ0x4xSAiCcvLhbIpxn+/F9/wNPTB0jJUdcF3v34A6rthS06PBYRIUgTAk9ZaTpGOs7AtOkS0zCq6Aiq/Oofv8K3v/sWiSZlXnx1gfnlHG3ZWN7C+IxGRePFGGESUqwu82zaoNlUpucTtG2FOM6Qz3Jk4xRK9Rgvxnjx9eH7GIMPJaTtZGQnIKWyZCvTTWzvezTtHlIJhMEXzHn1xp6mY1200EZtzEWE4EiSHHlOIxYhaAwRx5ntto1lbTZOwbSL1/RihsXFDLJXdhzW1SRfEoIjjjNEUard8TgYCxDHdO2TJCPb1L5HLxXe/vd3ePzwhMlygsXVwnZPAEGWZgRwaufjeC6CyNcEwUO8p9KJhYCGm6Xu4FmAQL+fBl4Nggiua2byB1IvGfMEtjvqwhjk5ichRAfP85GmY0RRBsZ8HNI/CXninUBZ7FCWGwjRYrd7Aucd6qK278jieoGL8RjjJH5mGfu5K0wIpm6rFqI9pLyt1zdYr+8gRIu63iPPpnj1+h8xX56RFXfTQqx29p5GaWQlX2a5ngNHOej0pq6kgh/6qGuJYr+GlBx5PsN8OkcYBeiMXbWQ8PzYxmR7HpH6jCOqQRyAg6RNaTTglCVEC+Z7iLOI5vp6Hi17hTYOcPWrK3ylFU5VUeP6+2uLQhpy5SRLEQcBuJQ68IiCqToh0GnLZsA8ZyRJniQJQp+RWdu//x5Xv7q2qEiYhJjkGXEL5PPUwcj3Efk+Cm0yJYW0iMqpIy6AFGtSSgQDGfPM9PjZdR0EcYjL7y6xuFqgLiptVtZj+Yq4UOY+SyFtuuHQU7OWjFNMziY2nh2AdeZ0HOJQDP1gyY3GIAw4pJPOL+ckzdbFpcu+QVs2+PDHD7bgJMSc5vyf4vZ88sp4vmfDUIx7H0DEiXbfoNbM9NFogcXVAqmZbx1VpaZy2T3SC1GWGyKHRSmyaYbxkhj4URrZVD/mubj66gXWv92gragC5N1B8mRelkA7J0UZOSSNF2PkOvsYoMhfByR3MRrfU5bJfFfaSdCwMUUnoPoeke/j4vIM928f0JYNxosx0nGCYThE4ipJBJ39eo9hKBAmIRGPfA/jJLEdjeNQrKPUbMwwJTXEcjGF7HuUtSZS+eRcGJ7N8U//8Z8sA1QKQjzqusTmnu5TPssxWU705zoN8pvMZ5YbkEShlQxxnyFMQowiSp9SOmBjPhtjej55ZhFs5YV6YxIDBbK0QqBsWluRB1GAQB/O5pAxShCj9gC0O2BFpFKS05FHgucfyC1m8xOdQNvWaNvT7ztgUhm57uTxLIO+azrrKUCsbYE4yuAxn6Kcj1zHXNfB+n4NPwxw/vocL7+7wovJBNuqssSzQUe3hnGEsA8hBCEVrqeLLl10mCwIIneFVvIzvZhi/mKOLE/ss99xYR3iTrUu7Y9T7o4OjqHvLQHJUQ6l47kOMfZdF4kzfubN4LrO4eDpB7svkBOk9vnwAy194+BaLmhsfZnmCABAWzd2s2eMYTSaW4JVkqfaW4Oee95wFE1j3RBPXebvBDGNeAziFWcxzsvX2O+22G7uEIYJLr+6xuR8iu3D9lmB1Wur43SUWDmnyZpoqxbVlkZ9HqODe7/z7LgsSXLE2uq6W9O+SQqKGBgGjOYjBFmsVR0MfkA5FSagiWRuBzvfU1YQxAjTCH4YIA4Ph5TsPZxNGMLFHFEQwHUoGp1/Jy1L31iImwOt5tQ0eYwaOtn3qJvWwv8muthxnKOwKx/jJIE3n1n/DpN6adwxhVLopIADiqjt+x4jTZptqxbNvtYW4KeTG7u6RVeRYmp2MbWH+fhsjOwj8Vtcz0U+I0dS08R5zLXIlfFNMcjo8tUS47OxlUma6+Rpq27Pca0Nb/FU4OHtPRXxejwdpbT/8cbB9Hx68LQZBnR5gmyaH7w+Zrn1V/iUouuTB7+NPhR08wx5L0ojNBdTKEEPmznIjLa5lwpCd0xSSjQFab9d1yWp0HSEyXKCbJJicTm3X465lNvsOg5GcYzX//AKrmZSGnMI3gl4zEOcxZbgZiwagUNaFF0YQOkHZX23/pz7/mw984t2HbuB1rsK7XyEIRswTVMsXy1x8+MNtvcbG9xh4PZyU2Jzt0bfDxTtmCdQUoEFDNlRSA9AFpZ0WIaIshjVtsS7qkU2zSxxplcD3j8+YVA9FpfEvG7rFvWuwtnLM3z880fsnmjMEiahzTIQJ8r6ojQ6kIRcB6PoYMah+h4+Y/B1IM2AAWPEiHwfu7q21TfZPZMVr4ltBiNbWjMrBWANiTzfs1njHvOgpERbt7ZyDeLQHiRSSEghEWYxci1pLLeVRaWODWS+ZPW9QttWaJoSUigr5ZycTTBZTlBuSyIgaXKfse90PdfeK9dzrK93EPpIxzR3ToIAnRBI9WZ1/tUSo8VIe2z3KLclZCfsAX9gblMX4TFmcxDSUUoFXppo7sRhpir5oDMtToM8y20Jl7n/xmjp2F7WcRy4PtMbN+C4VNwde8ubuXavdDjPQKYvrufYMBjGmCX9ySiDUsKiFJwfglbM/+95vkYCyNI3GSUYzXKkkwwzPeKbLya4nE4xiqMv6vit7akOADLP1HRJUDYR2r4HQJ2a4wCjWY5sklmEoq1alNsKcAkWD+OQgmZ0J6Y0GSudpOilwmgyRRT9Do5DY73ZxRSO61r4XMnevo/WPC1glG8R+UALa++rtG9/r7lCp6yx1qi7HpHx8ugQKKP6AYEOhXLgIPZ9xL4PrhRawcE03OzpsLWiamh04LlkQd22z4jKx++o40AHVNHBaLp/83MmotYZBqhhQBZGiIKAvO677hBvfmQ29iUdf1O2cD2PgnbiA7cnm6TIJhke3j2g2pYYLye4/O7SIpnGdhigkdDDuwd0TYcXX7/A5bcvyLCLUxS9yd4QLn0vqaXTptlZ361x+9Mdptq/Y3I2Rj7LMb9cIAx8dJzsjctNCd4Qh2yiG2hDCD1GqP/a+sWy95f1y/pl/bJ+Wb+s/4nWJ0siqYlm5MQXWMjVzBl4J2xF7zEXrtZXNvvaMparbQXJJQJBVaqpToLIRzJK7VwoTEKaj2OA41CO+WiU4fyrJSbnEwufmkQ+Q+rzw8AGCLmOA6nUwclKS9Fa8WUpXcCB2Q8A9d5YgtaothV2cYTlaIRvvr7CMAxY361x95d76mYL6mYlFwjiEBdfnSOf5VCqx361RxiHCBmz2dSdIMYrQJ3taJajrVrcvrlDuSntnHs2G2MYAlsBs9AnUtPVAtWughIHG+DlqyWCKECv1MnVbzrOEGquxjDAwqZpGEINA6quQ80PCVZV12HfNGjq1kKl+TTDeJyDuS52VW3hR3N/jjXKZO3qaatSLflqBXh7YP+7HmWxGylREPlIRyniPMGgeori7A9djxAcgrfg4jT3MkAHTvFWy3AcC6VNlmP4YYDd045MiaIASvW2Wjd2osChQzbGPWcvzzCKCcIljgOhCC9/88oiGyzwsXvc2XCldJw8k2Iaclg6Sq2XA0VcHwKKAEJVlDoQ6k5ZSigUTwXCWFtTewb1cuGHrk7hVFapAIcSJ13XAdcdP8XW+hoR7GG2GoNeeEcfychXwzh8ZnhzvIxPgPmbw0D8IyVoHwq5sFA381zM0hRXs5l91k5d5m84RxwJJSVcz7NjBaPBd5mHfDayCA8Aa2U9qGNnQj2XTiN7T+Mstu8YQHtrOkmRjTPSrB/B1VKjN65HyYEm3J408Eds9r6H4BKSS4oni/QAACAASURBVKut/9zla9QKuhM3druxRwmTjuPA0eMekzSZhiHSMISnN7O6o/AdAzV7HiG53BgZGRM3i8ySlbHnuPAZwdRS9RbqBwAhpUUX+75HHIaIfR+13t87gwg4NA7tFXvmnfC5qykb66MihcSZJvLlUYR6OkKvFG5/usN+vUeUEjzveC54y7HRqPLtT3fgLcer37zCt//8LbIoxMPDhkyIjkKKANo3DV8tSiO8uF6iKRv8/j//Hn/+v/8MgMYML759gcUVeeUMPRlMSS6QjBMsrhfWG6DqOnSNi67hn3zvP3kaFKsCGAZ4noc+PpDjgtCHP05tvrbJQDaHfrWr7UXv+x7pOMV4McZoPsL0Yoog9J8RsgCCsBvOETJifXMpEQcBZmdTCEW57wBBToJLeuk8XSjoWY+BfYSGUkINI0ohTzYxAaDNhpiFoox9Z72rUBUVdkkI5rmI/ADnlws4DtnzDj0R1sxNWyxnYB7BX4Z8FiYhfMZsmtuuqfH0SC5WoYa0Z8speCfw4Y/vrZ5XCSrE4iRCNh1Bqh6N5hCUmz2Wr87w4ttLAMAojSFVj06KT8I+f22FSUiHnU7UsrHAngdvGMBdF02voPoBQkpw7W0dJxHSjLgekySB73m2oPE8F1EYUKLc0eyY+R5836c4TkEs+igNyUNA9ZbcwnzabA3sznxPSxgZuOyssxegN0kl0Ot58emLrIeH4Tkp1PMZyfF8cp60SZXMI+LpMDwrkHnLoYQiT4w0AvNceC7NNM11MkWZgQonywm4JpWaGShAxYx5mf2A4G7muXrTdSGktJHOlgipYchTVpiExMKXPRxXHWaXughQ2kXNZJYfVADP89wBE1+sbWA98gWggx72547HMcz37Hc+/t8cx6Ec+59FD3uafHzsWpcEIfL4IIc6dRlHRTM/N8Wk4BK94gfek+uQQ14UwIkdOO4hqbSrycba8BqMB78SEi7zbAw3Cxh8hxop41xH+RieJYcCNOI0CgDmD3A4MfYVVxY+N5/TsNGNJ8gpyxR0fkCkOTM2jYIAnpR6L9CNlevBZwyentGbWX/VdRQdLSQch1QSpnE4LmSUeh6rTvNvB4AD1Q/P9hwTST0MA+DR88ClhNAjJKXfU8G1g+EXqDkAbaEryUuhq1pbUEyTBPMsh/PdS7ieh9XNCvdv7vD04QmiE9g+bG1jOD2f4j/8p/+A719dQfU97ne7Z14OSt8TgvnprKKxDEXTf/fbrxBnMf7l//wXAOTc15Rk5W7GmkoRwf7yu0tczWcYcIi37/uBZKTyb9/7Tx785aaEH1BQSy9pXmw+PHNpBoYwgIojNAkd/EmeIJ91zwgcQUzWr0mewPUcSEEZxG3Z2JmgYSOaL8A8DwMGSMXQcWG9rbMwghe7z6oZE3E6DAPajkPo6rfzPfiCOsQoP30joI2G/hPw7aFSFbUm6w2o9zV9L9dBPstxZSIpNbvZ0SjEtqZISykVgjjAcjIG05s1QFWyEjT7T0ake458H6+/uYQSCm//9S0AKsaWr8+xuF7Q3E32ltgTxiEuvnmBlwviTVAl3JC74Imb/3HnCsA+rFIpeK6LwPeRDYOtXk1krO8x+8ICQCcE1NAjCgNwz7UETvQH4pHLPBtz6bguXSehEPoMODr4DOPV+HWbzlNwgXpP5kiGVCk6boloX7p6Jck5ct9YX/04i8jZqx+IVHc11x0G8RYc17XGGUpRHDNvOeI8Rhj4CBnFRieBtN4Nvg4rWZcl2rrFIs8xWp7ZglYYUx998Bs9dN12qDuONAzhOj45gbUH604jDT1Vymq4Ia72bLAe84zuhR8SCmYtuPU833EceIPu4nqSlB0XAI7j0M86ji0mTJ4BhYHR3/eOLFiP9xzHcUi2pvS8VEh4PvFhsklqn9f77Q6tEEjDEOu6tpLZz13FqtDGV5GV8wLQqERgCx9DeDbXQgqFtiLS3n5TWjkkqXoc69c/9AMc7+CvH6URgjggmbTsyThGUiCOeW9NwRCEPrgmGnueR1LTprPXBCAOghTEnj9Vzsd8RuRlScip2Y/NPmX3Z33oh7pDF7rpAoB1WaGu6D30fIY4COzPGcdB850wDGQQp71GXIf2iH4YLLHQILkGZUBPn6cdetQdRyuERZh7HRPctdza7Z6yekW2vPWuRjNKUev95MnzMEkSzPMcwa9eIc5jPL5/xN2bOzT7BukkxXf//B0A4J9/92u8ms9RdR3erVbYFxV4yymuPY7t9+qHHp7j2ihhgA7ui/EYV//uN/j2G9Lm//jTB3z44wfU+xpN2dqfP399jpdXJHPfafJ3q6XHvOnsXvhX7/OnLoLp4o29rKnm24qq2TAOEfiMGO5hgDxN6DDTrEv7R3Ql7LkuVN+j3Fa4+eEjBJcYn5H2cXYxRZiEkKqH7w0QSsKBg4ZzfPzzR2skcX59pjPID7/bcxwMPR1IruvaA9r4Tnc6XOPU1feDflnpv5vNylwXP/QhWlIsZJMUsxdze+gfdzFV12G92qEuKrDARzpKsMhzxIFvXxbZ90gnKZI8RpIeipRRFOPf/btfWQTh9s0dtvcbSC7Jk7kTNif66vsrfH12ZlEE+7u5fKaB/ZzVNR3K7R7ZNAM/6iSZ59mihulDPDbEGk3kM5tEJyWk3jRDHdRhCJyO59qu30B+pqP1GCXK+QGzMi7g0EUa8pfjOuA6n6BY77FfFTasoiy3RMyTX9Lt0+qHnqRbRW01sSzwIbhEEFMhm05ShGFgN0R5BGV2e/LcZwFDEPqkMjnuYPUGmIYhhB5RuczD/WaLpz0VA3kU2U5K6FCTTpN3KHc+wMpx4DNG/9uRqkG0lCtwal6DYQWba20Ia2EUADqj3oxtAFiDqGPzFDoQPaDl9vA23R7zPcAEiAwDHaT8QOqjLAxHkzyPVQXDs83c9Qjqr3YVgjiwSFcY+PiwWoEd+cKfsrq6s+E7fhjYUQfT/z1MqOgkAiB9D6WUNeMBiNVvDl2uD6FeqUOhY4spQq3CYSAPfC0nM4Rps+cOA6UCsoBBaa8QrrjNXhcaWTL3DCC53Kmdb5iEEFxQaNZ8bA/p2Pet5NhzXTAXxEjXhaGUwo4fO0mqgmNViKdJ135wCN9RjEYKUqoDSqsJg/3RSNBxHIT+oaFohMC+aVBzTs+8EHakYUh2Xd1ZUuYpy/Np3FgVFeJNdJDocYEm7zDLqeNezCeIsxhnL88QxiG+Wp7hfDy2139dVdjWFe6fNtjcb8AYKXBGUWQTNVXfI4sijNLEBg5xLlBzjiyKcD2jMcPldIKHX73CpqrRdtwqCUKtKlhXFco9FZzmvK6K2iIQf2393cFvV5P3O4WB0AYvOm7NLQwsCNC8Kotodm0OB/Pg9D3NN8q2w/vfv8PdX+5x/nppN0LeUuwjl9IWCGbG1NUd7v5yp3+OY341R5rEVJEOADN/Y6D5j9XbN52NjzRz71OW1MlJppK2/1x3Uek4gcM86swCH+FRNKSZjXVCYF1Q2I6rX9w0SxAwDyHzIdVBjzrJU5rRcIEoDCD7HmrokYYh/vGrVwCA1xdLfFitsV/vrZ9C7MeYn0/xaj6H6zhotQtYJyXqqkG52RPD+ISVjlLqvjUTeX1UyGQRdaoOHFtsmRfbfH+AXtCGc+zrBoHPEPoET/987ur5VDDsN4XuFKfIppll+psxjctI8zr0PYQ+YMtdhe3jDuW2RL1vbFBGVW3RtRWE/LKQIoCY/VJQ4px5phrdjTGfoSkaVNsSUXYo1CjT4ZDj0BQNXM9BkifwHNciQAAsZNpyQZtZUaHZN1YZ0ngNNk5hx0NSSOvzPqgeLCCt/bGMq9aOkMdd4KkboH1nFSWfmQLN2B/3Tg9noILYRA4buNkc7uRpQQVeEPpwmWdNbOja0jNiXPeMt32gTYccjfSYZ8mMFXjD9btEFrXWq0D19nPnERmBxYFvY4NPWYbTQ98ZNuyEUAfqip3gaP7MCYavi4NdtuczPeY4FEdmdAMckAwzJvUDBsY8sBGzB7gJNjt8FkJYTCcntVbd0QWjOVAlF5CdoFEDO63jH81H4E2HclNiu93bvz+KI8yzHJEu4CPfRxwEdsRq5v/mOhnEwfVI+RMyZt99c5+EGjBIiWbfYBswLHLiA2VaSWDeEwC2oeRSouo6Ug00DUmgj0Z8lBoqLBp46vIDpt/bGmv34FjKW45qV2MX7qg49Q5y64vxGFHgo2i0SklKPO0L/PiHd9jcrQmRusiQJ7EtngBY9UIWhajTEOu7DVYfV+guOjDPw0x/psj3MUszxEGIuuuwqSraK8oGdeij7ynVFgC6qkW5q7B73D2TFf98/V3nPsEpQpe3B9tYQzDiLcFMZtbleS4qB4j8wB7Gjp5pCKVQNS1uf7zFxx9uMJqP8PK3r+zswwZjxBE8PbfphwHMc7F8dYbVDZmdvPvXt/QyXc4PsY0gSEoKRTnxKyLymTCV86+WCNPTTVyUUGg7gt8MgdBem77H0NO1SPKY7CN9nzpaXbgAwKos0dUd5pcz2w2e5TniILTfDwAC5pEutiMiouSStJyXS6h+gHl/0zDE1+dLqLOFhdgazhEHATopsSpLNJxeAtFy7LWW9NSOf3I+QTpKIYWkmNCjzqETgipz/eJ7ejbnatKa2QCEktiVtBmq0IcIFLI4skWh6RD36z32u631ZW9rMk7x5odxybP7Imnzq4sa24ctdk87kli2tQ2OkZJD9ZTkiJ/9+5+7hmFAxyl61vA7mM+AiZ7VSUWWuIGvPQ/0HFvf06qosXvaIfAOiIghc5J3uTYF4gIhY4iSyAa0jLQzpes46DMTgHMwkuoVjW/qfU0cHF3wtrXOiJBkNcx8BpxIb3kuszpcO0O8M54WSkhKKmw6dE1r94XjZf4+Qd0Sgx4fGM6K1JGmnBPBs5cJIj3P9zRh8NnvCxiCnrT/vaKiw/M0sVhvdJuqwuV0Ai4Vui9wbxvNR2iOfOIPn8GxpDfHpSQ3KaUeU9C4wxQ+nu+h1+MS0zCZseYxWdOYhBmkyw99e+AbToO5jn5ITnjVtqJZvHsweaFQHvfw+3V6pJn7f+5KRomGlBuSJB5xo9IwhO/F1LlrrX7IGKRS8D0PiZnj6xn7MBBK4zoOAt+HqxQGDEc8HCpceqUgWkEcKCkhlUJ0NC51tQFbI+hndnWNXV2jqVsyB2oOzppSp/bRmOr0994gLZJLVNvS8nUMedLI8sI4xMXXlB+jhh4tFxB6z983DR6ftnj6+IQgCrB8tSROlzaos4iM61oCY68GHW/fQLylhjo6knpzpVB3HfZti1JHdyup7Ltk3vu26lDv608e+sDfOfh9O8ejCu6YIGac+5RQ9LA7xLhWqkfndQg0CzpgDEJJtFWH9R1l0JebEte/voYf+JaA0AraXPdxgC40nTNV07PlFN/8r2QD+4f/8ke8/e9v0VYtJssJmI6lNKSfZt9YzX9bdYiz6IvteiUXNhTH05peQLNyGc3X4ixCmEaIdRdsICtT1W2etqiLBpPZCJ3oCBnwiRBDRA9tKcwFqrK2Ol/Xc7G5W2sry8gWEqZbNkTGsmvRVh3SjKrJzebQIYqO2/REkw3wuctxHPCWw5V6Iz+CJmXfI9YvuxfSAz0MA6Qm+5kRw66mTi7OYgQ+AxfS8jGMth+gajoIIrz4mvSu5jC3rmdHLzDN0umwKTd7lJsSTVGjqvZomj2EZvATGsEgwb+Y6AMYI5/n5EiXkVY/npAr4eJ6gZHW0ffDgPsN+SiUmxKeZoGLTmBX17ZY4noTA6gg4FJSF+u62D1uoYTC4nqBaZZaLgBXClXSoWpaG+vcVi2UUjYt0yyjC3YcnOzeZsJ5zDrmepgDvJeKHNRUr+NnFZJsZDdKT1tV/5xjIVrx/J85hwNLSgEhBLyO6dn6AGbQHmN6wjykWltt3s1h0GiHhtmLzR73eYHI/zIDH5O2aPY+g05YK1il4PSOPXxp75GWCA3ocZTT63wGIuvxhmtS5MEMzSAZRCT2flZoHd53Y/zVq966ZwIHRYTjehh6o6jQxkk/C1f7nDUMdAApQaRt05iVAHZBgMgPCOVzDp/NdRyovketGw7HoZh1JSQcj7hKSRCQT4lQ9kDOpjmiNLSFbNm2qLqOGihdXADEgVGOAwhCxoq2QdN2NMcXitwBj65H3w9f/M73PbmcEl+jtaNDTxdwwzBQeuAsJ3tdxtBpLxvzXK/KEuubFfJZjsvvLjHNM5QdFcamUTOLeFgSVVEhnWRItVfA4/tHe6a8mEyg+h77tkVRVpZYK/W/1+ybZ6gfmRexTxZ9f8e5j9kHjQXsmZGIeUCZz4icoXOke0mEizA9MLFFy7F52OLd799hfbNGEAc2ovM4rIIc+oSWdUkqKjwXs8u5dTHKpxlufrxFXdQ4e3mGbJoR9KaZ97x9bgzjhz6GASdb1gKwpLhBZ05DI7rHOc8u8+zfB2huo/oea51A9fjhCc2+0SlnErPLGbhUaIVA6DO0Osmtk0T8c1wXk3mOfhgIbrpdYzkaWXidqx6dPjTKrrWhH1LQ9ar3tX0JmrJFpeHHU6vf8dkYu8cdHOkgCA/M5q7uwB0OlVBVnuqDn777gJpzPO0Jbt9u95QZnaVgnodWkAue0EQds5mnIzKjGZ+N0dUdqi0VK+vbNV1rfd1plijtwdO19Pwo1es0PXlUTXtgfoCONzYx7rRlmPTk0W020LZqNbpFtqZ+SCMeM0/eNTVufqAY4fd/eE9hH7rwdBygaTv0ske1q7Bf7/VndcD0rLfV7N1iVZDz3utzy4g2HRCgD2ctV23KxrpLmoM3ymIdL/olX90h692fzfIt0U4REc9ksgvRwnGIpGbDRVznEMaiMwQ83wMHh+TyQNiMA8tSNulkzwiBZszgH55fo+yYv5hDdFxzeQ4RtWEUWJb5l8j5klGCqqhscWq+t3mHBn2NlFQWdaj3tU3KA6jwdBzfyqCJL+DbDdrsR35ARjxmLHAoOHp77QCNPulCD45jXeOU6i0B0RQoxxD3l0g5Sc1BuRdmTKSERCcFhGb2OyB0r9OKnk5D8ADtA2kcgfsHeSXTXKAsiaFmOr42iShTIWxQFRWKosQHDYX7jNlRmNBcobrr0HJux6O95obInxWmx4fwqcvV98Fj9Dwfj6aY7yFMIzLNmud2tCt7Kj5Nc9bVHaRQ8AOGXiqUHQUT8SDEqiyx0yOBQCueioaMjjAMiLIYSR5j91jgRo+3na8dpGGIVlCh00tlUSYT3Xx8Dcx3MJ/nr61PO/cxqrSM1aSBqpSQ6PMEQR9ACZrtBHFPecR6szAkHMkFmrLF/dt73L+5QzrJMD2fYH23we1Pd3YmyTuBMA4wmo/g+QzVttSObhQ4YhysaFPysL5doykbnF0vEKYRPKNtxeFhN6SjOI8xHp/G7DWfXQlKq8IRUcW8tMMw2Nzjn5P56oK+l+gEufo9bJFOUsRZDHFGrOxWeJZ8tKmocmM+g+x78KYjksmuwkNRIGA08RFKYlc3qNvOHvAmRMZoOw20LTpOkqfcs86Gn7uycaqzwWsiX5nNT5N2mE+fvRWCFBjDAC4l6q7Drqzs9etVj4/7Gn7gW1Si7giqMuQTJXusb9d4/8MbSMnh+yGFOr0brHQOoCKy702HeQhQkpIOfXKaO4JR/wfm+2YJydG0pY3LdRzfFlLpOEGvFLigv82lxNOHRzy8o0jZpmzQNR22D1tU+wIv3l5beLDc7PHhjx8AAOv1PcZjypowaWOO62J9S7pgpjf/cZJoYpVLY4IYWq8tLCHPygu9Q5E+fGID+FvL9fSh2yv7nClJHulEsiNY0oxWPM3FOSg1XLs3uJ5WcXh0OB9ruY2HWN8rm85Hh5+rOQEHfoFxSJNCkn3u6yWiLMb2foPyCNEahsE6JKovOACySYaHt/ckKWOuhdOpszYHS68DfLSNdN2R2yEz0kdSpLiah6A0o9/9GfqilIKspQ3yMX+HEFXvmRyvrekAcVwHQRzozlwjjGqwB74SBz/8Xp5W9DqOo5FO1/oGmNUJqV36BPGwdKFSti02VYWVTkLc7fbUMA0DeTmkKWrO0Q89mOvaQ+rmp1vSzftMP/e6a9cEwmEY2c80DAMaISyiapUB+pk0qCDtAbDX5NRlii+yC48PvhO+B0/blccZjeHMvF4qkhoWrVYUcYEgDrB72GK/LZHkCXrVo142aJYTS1IchgFNTUS8zf2G/llPz5XnM4tcr/MY/Wxk0RJTDDNG4+euOTRmhhtz7JD419YnD37HdeAOriZUDVYyIaXSEFhvjTuoSnLtgW+6nKZssLpZ4d2f3iBNc5y/Psf0YoqbH27w//5f/wWPj+8BUH53lk8xGs3BWIimLtAPvZ79efj1P/0OAPD6H17h7OUZyl2F9cMjlFDI5+RtHWeRtYgFDtabgzp43Z+yTAUtWkHEG5NVEPqWhXmsH+6HAR3nKHalJYXksxxKKNz+eIN0kiHUHUCWJ4h83z7ITzcrrG7IC/rh3QPN5csGo8UIu8cdJskBZTCkF6k1sMMA6wFuGJ+AZo57DkHwJ24A9f7AbeAttyQhV4e/9P1gD/7Di0owv5mHK9lj97jDj//Pj2irDlffX+Hs+gxSSpLC/EQV7e2HN/h48wPu798gDBNcX3+PKEzR9wq7p4VVdIRJCOiu3+iNiWBG98JwBABAiA59r7Sf/hccfPr7dF2NolhhNtOM8TiCx1z6/q3Q5FdCXcxhbjgm2STF9mGHu5u/YLW6wXp1g4d3rxBGEZTq8fBAEk1K+aPQmeXVBZavl8hnOXo1oFgVljkuXsyQxuQFYEZJxlZ2GA6BLwD0jHXQkPuJBp16PttrqaSNVj1i7fOG4nFd16XYXUax1WZ+G0SBLYiHYQAHPY/1vsZm9YCm0SoJRnHEUnL0vYLnMfS9RNtWz1jh9LEG9Mro1kk6OZmNLCHr6OOj5hzn2nPi1BWl5KMhWgHHO+xplDnv6sZGM+uP0vvCIHxmouR6LmUrxKHlNDDfg+MeigklKcSM9PneM48EP/QtghMfEUhJ/qZHb9pX4RiZIJSGfvb4unzOMiiCueemYRiGAVxINJyj1AdeHBA5ed+2WFcVai0lrYoam7s1eCswmuX0bEgB1Q94etzg/R9oz//wpw/WnOzqu0skoxSu66IMW2yryvLEzEHJtVpM6ZCq4+CnZ5JTSww9/b1XqofL6OCP0gOr3/XIj98QKQFtPa4k7b9SWgK1MeN57ATu39zBZR6SPLE232a05XhEnt7cb1BoMp7gEkme4OVvrhFolLerWpRHBmyuS2oIg5p6zAPM53QdSNclNP1LvfrDNEJTNP9mRtgr6kiBA/O07w8yLDNzBIBm3+D9n/+Cpi5w/e1rpJMUzGeYXUzxza//AeMxOdLtizWK/Ro3Nz/ql18hTceYTi8wXy4PMbeBj9hzMT2fotiusdusqWrWBhbHEbKG8FKsCqxu18B//NS3/bfLbFqUUX14iIajTddsyn3fo3ddNG1HzH2duaykwtnLM9T7Go83d9qwYkA6pixpUyDdv73HzQ83qPYF8vHE6jrnlzPwllsTHCup0QdxL3trHGOq88FApVru9CWe3XEWodzsyfVPz2vNdzcPrlAK+7ZFGoaWdbsrK7tRxllknQu51gZvH7d4ePeA2x9vcX//FwDAavURbVthMjnX4TcMQRgjScb0t442b4vmKKV16kJvyJ69DwBsh+66LtQXIP3m90jJUZZbdB2hE9kwtsWeksq6Dg7DgO3jDtvHne3Q89kIjuti+nCh46obPD6+AxxKqDNudOfnXxGKwgKkkwyT5dQiXE8fn7B9IM6AH/pw5oR4maLP8YgEF+c/e0clqVG+hOAFUKFPBL4D3Gt+zzAMEEJgQE/3Sh/y0pOHVE7DddGb9DAM4Jxjs7nDdvtg0RjGAkRRagsA3w/hOC4GLaVsy4M//fHvLdZ77B63SMcp5V5MUntYBRHFnbZC2DHUKSufjRCEvg3SOS4+PEYdq5FLmuaAaSjfNAcWJXBdpOMEXd0RaUz/HnX0UFKWhoCSej/R45umbBDWtPkPqrfoAUCg3jDAHgDkoHokdWQuBnF6MuP/z96bNUuW3Pdhv5OZZ6297ta3b3dPrwPMYAAQ4IALSEhUSJZoKSQ7wnq13/UV9An8RexXhyOksMWwRDMsUlwEEQtJrLP29Ha32s6ey/HDPzNPVWOm0dWvnIyYALrnzq06S+Z/+y0v+zqwrfunLZ10HRCgTRmqthsLxnZsFgpGAnFKf16dL7G5IjDa+nLtR1zpMMXRrUNrLEP3bjgb+tHgtsIdQN3OVmkqZOyZt20kR89B9PTgN9j4WiqPtRChQJw64aF+Zt7Z627tdSuzS+UEgMFkgNFsiI9+VOH5008QxxlmB0eYHk97ACjn0Frj6skVri9fwBiNOM4wnNzD5GjqO3WbRQ4EpCHBrT8G4wR4dKOj7TE8JY/ad2k/b32p1f/l+nJ9ub5cX64v19+j9cqK/+jsEM/a5+QFLbhvJRHww1i/6hYBZ3623NbtDsL26sU5FtfPcPPsEabHU6rAlIaIQhzdPkJmrXzXl3NcvThHUSztnMVgkE1wcHyMg5uHvgIWkYCAwPhgjPF0juX1BYoNtVZJZ3pX5jOwFb8TYNlnuRHGNsoVgJ/7R6EV9zAkGakl0d7m45Hn8VfDFA+/9RCj+Qgf//gjbJY5PvvZZ0gGMcI48nPu80+f4+r6KYbDGTkBthJnD2/i4OYhtZOtEtZkMrL0OQaMgBI0U2qqxvLcA29HaTTxmztjXinm8HkrzmJkk4EHD7m5GbcVpkMYayulqY0hmc5WebvZk8M5Tg7nSIaptRsOkS9yXH52iWKrik6SAQaDKdJ0CMFDpNkYg8EIo/kYyTD1HafO2Ey2JUU614Uh+WaH72jt/3YW4bt/u4+Ww4looDNEC0SPcGf2GZXrwrJJSlw+DKFFBQAAIABJREFUuYJRGgf3TwEA6ShF13U4e3CGdJChKkqiBtYFOOeYTI4AEJiMZocpju+QU19i7ZbbRuLyCVFZl+dLEjOx7V+gt8512u1uHOerwK3vvPcd6Ns8/u/cOM8YhSDgiJLYA3+dNj/Q09TatoJSEkq1qKocbVtjMBgjDJP++zOOOEoRxQnCMCH9BNV6MKf7CkFgqZ0WOLh4sQSCAIc3DzA/PfAt93FGlLOiaTwjYp/lupjOAtzrSLAAxnDIhjRMtlvNJJMr/bNRrYRsCKxVriv6s3Uu7Tr4kYyIBBAQXsfN9qMkArOOm+4c7bqOqs8g8PTNICBrZG3lft33oTPrzXjsbSOtgBKBR91Z4hgaujNQ2qBVGiG3uIUAGCaJl59thglEdOgZC7JpCWi8KsB4gNtfvU3P6WAMEXJv3ZsNU8yHQ4zTZEcBVGmNVmu0UkJq5Wf3zj0SAHTV7/vA+ke8SrL2i5aSGowrxE5WOtjCDlipYKN7q3bJAmipkS82nu5+cPMA0+kIeHAT6+sNqqLE+fmnyPMFis0NjKYkxma0QVWUWK0uUNc5BoMpRpMpeXrMRx6kXhdXEKHw76GShAlxe5xx1o/4QGN2F4e/aL0y8GtNQB6S3uxbXg55Stao9sPyCloZDzIrSwrGq9UlBsMp5qdzOiwborQQBzHwF5ONMwTBCcY1tThVq8AEQ5TEViSk5/uTIEqKs0dnCH4ZoMypdeR0ybfnbI5zvK96mf/v/UyZlLfcMkpTu1kRsEQwDqlJRtN5RAOW5z/JcPrgFCISePbBMyye03giCCqfTIRRjPtvfw2zkxnSYYJ0nOGtd9/CyeEMT55doLAHwGQyIilbALW07deOOM2cc59QAJYPbymJzZ6UxrpoPK6hrVoEAR3UPBQ0p9wCM2pj0IFQpFESYZDSzzpLzxsnB57CEqURHnQPwDjD9TMSVTJa+80cWNU2JnqwpgcoWQCbsoIpjscaBBycW9lU20LujIYxpLW/bfax37JBKRkgjilBdYGWWyprlRPKen29QbkuqcU3JyBpOkxhlMFoPiIapAWmFcsCSimM7c9NT2YYTocIo9DLxMLuu8Fk4A//5fkSspGYnUyRjjJqa4Y9HUwp5e8ViU91YDB7tzw9iK9zNDZ7TAQOW6IQgEGI0Or329knDxBoh4I20FpByhZaS9R1QeYq6dC39t3qug6hiPwIhTEOISJK3PSuZC8Aetb2LHn2wTOoVuHuKMVkQlLJZFokrLz0/s/+6S+f4vLJFenfdz01rOvgJcfdeQQQ7gWwin8OoMcZjCTZ3fXVmmbxspcnd9RgGoUYH1i3+fxxFqNY0bPfXG+gR5kvgBzyX1tG1baxkVba6+DvO+Jrt8YX7joA4rgIIbxoFwAL8gu8Uqiz0Y0zOoOiUHjgbzOXaKsJeCgwGdBecsyLqm3RtBJtK5Hb0WES7jajO8sgCBAgCoVnmnXWU8Kdt0YThfJNkf1aKijGdu7By4vEmCThjSS1+YtV7s/d4XRAokVpjEfffoTJ4QRPfnEHzz98huXywn/XOM6gVIvp9BiD8T3MTw8wvzHDzYdnCJMIYdu38fNlTgwRS6032gDWC8LZNAO934e2ycEXrVcG/p/91c/Q1g2mRzOPogb6FxR2fqgUCTC0dQspSYyjaSxlIYpx4+w2psdTcjFq+hu27XefjVIIwVGsSw9S4jbwkJBQj2AXthJKhylu3LuBq6f2Z8M+MACWcy4pQG8nA6+7XEXpqscdIJ/pIKLQH7qcMZRVDW5pax4HIDgiESNNCPjDGHF4XSB2UrzTkxlO3joh7noUkomLpcoNxgO8+OQFACAvK4wHGVXa1oTDWMEKEQqqkO09NRtDOvPrcm/daiUVlhcrj9RWHj2sEUTCV/3bbohOcXBiDVIc6CaLrXOiMTBdh+FsiJO7Jx6056hKspFebhOg901vJW3ucDSaEp0t4MGvfH/n4tUZ80bqbW6xgCEI+uceBHRdzFLp3HetNxVRF09mPpnlgnwqmOC+ojeGKHeqVf76xwdjYi9w7jtWxhpg8ZB7B8tyQ4JArupIhwkiEFXMqdf5W2KIkmV055PL112uU9K5Q5T3aHNSRrMOcfY6tdLoeAet+ySNMAshwjACug5hmEAIgyhKEIa7VTjn3AvjANvdmr5iYZ2juzlQ1wBdR4Y6dVGT572tJEkYixKiN4A34P/53/8vXFw8xs2zh+B80APkAhtEu96boE+O6BnkXtqZlOpc9ZWOyN/dFTyFZf3URe0TjDROfUcUIFxDGPXy4+urNWmHjDJESY/k5oLeRRNsARxt4uiwLq+7XKX/Mq6Jc45QcCtCtZ30d1CWzucke3nAEEYMsRDI4ghpFCNkjKR8u16Kt1ESpiPDIqkomVJae4qzA/cJK/XtNPxjdKhDC+hkDMAu/sqY7o2YLAB1PLqu8yZZTvbNXbIT7nJUzzqvUOU1JfJ2nxrdIS8LKEk6D7OTmU/ogl8EaJr+fJsdHeLo9hEOTg8wORpbSWjyynCFz2Cc4fnHLyBCgVE3IkdIyxhhpttxkKWAb3akwz9vvTLw/8V/+feYzU7wjfnvY+tZozOd150GYSugGFXooiPJzSQh3j3ngsQcLMDHgdBcINoGzgRW9WybzuLcrbwaXOtUBGsEAW2w+Y25FcUIvbAJfTb3ScObZH9KKv/Z7rAH4M1f3MY3SmO9ztF19Jll3fibnsTEUx7EMYJ5AC6Ig5wvN+BC+OpwdDDCfLxLOQwCUiScDQdYWNRmtSk9f7QfadB9SDKyiXRCLo5fXG2qvel8t24e4+rpFVaXK0yPplv3RCNKnA534MU7Wkm0sjDr0cetPQi06dBq7a013Xd3AdIYClqwB77L5F0SV1mAV1O1/hlQNWjb8Z2G1gqc777O7v69GY/fXq+W2GyusF5Tuz1Jh/49dopi+TJHUzUYTIdIBrF/17QyvqvlZHiDIMBwOvScXYB0Ibbb9wCNb2JG4kUODJRkCYplgXJT9sk3gAgxOub2k62KLRipLutfq+L18nJBH9gVkfGjL4u+dyI7Bg78Z/oE0bZKGRMQYYcwisECDi5CC7h0FDnaX06DwZhXGysFILAnjXsI0FusCpx/eo7pMWmlD+IYk5Soo3W7f6fvr3/wH8G5wPzgFIPRuNebt8/Pt9Rtwu1oeowx316uNhWCgPQUqrzynRktNTZlz3wBCETtDH9cCz+MQnTa+HckzmLky8K7/nXGWpJvMSe07r+n+15Vtdnr2uuC3hdhxzauiyCsUl8kOCIhyGUyYJ7D74I1gN2EKKAEwCVinDGvVtqqCJuqouKBU5fPdB0aSW6syr53CUjD3y3HgGhZgO5zKHta6V/pyrzuaqoaqqXCJhmmGFj9mM42qDptvOOm67g4CW13zVVe+U6Okj2tcTgd4uitYx+fGGMYzoaYHk+RDhM/pvMsudCBhEe4enaN5cWSgOOTAXWybdeTh9wnOg7M++vi3SsD/+PHP0FdF3i4/jYGk4H/e4cgdHNFQhkGSJHQQWD6L91patdtrjdezjSw1akL7m4xzjE9mhKGQGlfPTjDB4AqitYK1tQFeZiP5qQY5sUW3OzXbzb1K2jV111etMO20913YCzwI4uu61CsS98ad5xjAKjRIk0oGIyShDTt49Br0bvW3WSYeSc215qWSkEzhiyK/P0vNyVaqRBHoX8OAKxCXGh50sr/bLEsYLRGHO036/zmnTuYZBl+8tGnePHxC98udriJgFm3MQEvQ+mekWvrO4Oesm0oK7Y4kKaoYbTeQWoTPcygKWq0tfSJZZRGvu0WBPCKkI49YnxCSShwrfoZt/vffaseWv1zz/MFLq9IlGc8OULXzajaYoR50JJke5MsQdeRcBL9txXR7bLYS1o79LLT+gZ6bfjOKq2RxHKFOq/8PQJov8VZDGnls528KxO9la1bbvM7Ya19V9fBtpEVAEdp6k1zjKHfG1gt+y6gboOvMkyf4MVx5vei24/bXZSdDmKwKxfsf1/XoYPxYx0v12uleleXK4/jmR1OvWnSm6zF4jmydITN5hqz2bF/TqSESPteNtImKU7oSSMI+ySNtcx3r4pl7rXjyeeBe9ne3lY42LHvbevWGwEBQMcCJIME5brwTKCh4GBc+CTYayjYzqJsJDbrq72u/dOffgJjFA5PT3ZwAgELIDhDyIUP5Mom87VsUTatT+r9+ct62ikL+srdjQoMh5f+5QGD7BTKvKJgmmkvaQ3AJhvcG9w0KkIbyR0xKAC+YHDeCPuuzhioTnrVQocxibrIVvuEIZAgKquTC+aC97LBVmQnsMlXL3ZHRd+2xkZqhba0NlC1egmXYMWgOEOcxdhcb1BtSOCKCw5pXR9dFxSwe9bisrZj68vr1ZK9YYz16gJXl08om7YXEMUhwiT0rV6jDcK45+2KsKd/FauCgrUFvrkKmlvfbbe00oizGOP5CGEcIV/kWF32rWZ3OLobZUyHpiCZ3ziLMbQ+xTxsvaa+q/jbqvXZ1D7LKGPlWYWfKwPUDoq2DDS6DhRgjUFTEYfTz0VtAtMNUi9deTweo5HkZiX9DBMWJEdBzNkMJ2GIwvSKbE6ZT9sH7+aD/jtbAQjAgTwaMN67fL3uOhgOcTAcYpwk+A/ny14oxKkY2gTPUem0zWxXebHjEqask1zb0EvqrEQB+FZWYIsFL0RkM2opa0RR6lvKQRCQeEYW9xvKZsdStp7P77+nVhac9yZBoANAwaeuC6LhAZhMDjGZHVg+NlHr+Bals7VSwgCNmuI09noXTg1sOB2AceZllDt7cLsDqy5qNEXtu1qZTfpcmzFMInDBYbT2Fq4iEh705X6nG6ftS+fjnPsKxj1juv99e5v2cmcTBA1jAt8ZA4AuoEDOjdhJnj+vEnFBHkH/c1rLHU0K+jkOIULfFXSAOKM0ynWJ0s7DW6mg3fd+gxGfUmTMtFye4+TkHoaMOnE85JTcGePBatK+123VWqnUXmzKCUyRXwbRfJ21tBsbujNxu4vUMWP1U4Id5bh0mIILhnJTEdBQaWjGbEtf7wRA2Uq0beUT1tddH3zw18iyMQajMWTTbo1uqHp3JjtBEEBamd6yadE0re8S0TksPAhZaquzYa3WW3vmSaXoH+0AnJ2vkAMWoBVW0lsphEIgs/a+QRAgltJLvm8DujsDr2HxJu58AWM+edheDrTqPFqMMeCCeU+D8XzUGwVdb9BUDbgQCBPb7eOU7A0nAy9J77oGZIJnrZtbRedg0uwURl7EKK/tXD+0yTAA04+3ZU1Jy68rdF8Z+M/O3sb11VNcXDzGWXHfZ75dBwSmQ8d6NSvAtm+tQI27cW3VILfz23KTIy+WXlyFgHM9GpP0qiOEYYyiWEGphkBEYQQpKctVSiHLRhgOZ0jTIUaTKRjnvhLZDsiOidDU/Uu5z1JSIQzo4KqqYstcgkYADlFJqFUC8ZSrArJVO5rlSRYTUnuYYjQd4s6dU0yyDHHY2/LmdQ0Nesml7AOYMgR8839uyRiFh4IsPC2X3c19jZa+tUtVQwcRsZ0k63WW27Tz4RCD8QBXz6hy0Lalbzj3HQdjDNpGemU1J2CjpbYmJh1E2PuWdx3hI9yhrqT29rHSvfhNharagPONB9a5pGFoejU/d2i2bQWjFdhL7X7CZuzP5QZ6ABUA1LX1Wd9co6lqDMYDiMi6Mg4SGE3A1qtn176N29Q9C4QxQuMnwxSj2RABYx7n0TbSHwLGdsiM7vxznJ+SauNwOrDe80OESeg7BKZs/FjKV4iGzFDaut0b3BelEbhgkC9VU0633iHxecht67OB1tJX4wDQdcYHM84FWNe3MKm4d2AsjQ7Oi90Jo/RdHFfwc06YAR5yCCH8SMMlJ01Re+aKaqVnmwRvMOsNAoZWNlguz9E0pU9URU3WqnGWWu38vrvjPBOSjM7IKAn9yEpJDSYYsnFGuIwk8vfVAajdeEVq6aWAq7zydrMiEt4IKh2mCAIKUsbYToLzTAH8n/N8hcXi2V7XXteWpVKUO8yZbYxQJDgEI7nZsm3RtmSL6zpLIhIYpgSw7LoOed2ABYEH+zpN/6ptUbbktKcVgdUcW8iNcQDqKLZSIosihELAdJ23ZjcW3LetGwHAn8/7riAIoIzyAkGuiOoMJSOd3pJGlgHqkhLAOIv9fi1WpW3vC/BKeCEgp1PgVrkuUKxKcpusGJhgXgY7jIQf8zi2TLUpqcu11T0DgNrUvuKv8sp3Vvkrir1fE/gfYTSao6pyrK4XSAZEU1KSvNIDWAQ247Z9T8HA2XAChPbfLHJSKFq+wOPHP4GUDeI4w3R6gsi2oJN4AKWlF++J4xSnpw8IUNSUWCxI5a0oXqDrDIbDGeI4QzYm0IwLjkxwCJus8ZB73/I3WWRtShVWVfUtNhEJ36Gg+R4lHuurNa6fXpFF5pY3gNuUThTiyTu3cXB2iCCAb0fFaYzBZEAvSMgh245avutqt42eU7YfblmHGjtLltbpzLU8a+vQtQ0Yet3l2nGxEEjHKYLn1hxIOgR+T2tTWnt3xXJTYmUFZxrbvndYDefm5tTM3Ea5enqN1eUCdVNAyhZKOYBoiTBMMBxaQaB0CCnpGhMW9+MfrXyFiKBvRRuj0Rn9xoHfJa/bM+myWJEZUEOKZKRPn1ksiUS9qHB9QXiAPF9AiAij0RzZiEw9SEM/BBPMo/oBeJexKq+wud6gWBfUTpcNXnzqgsscN+7dQBgJjKZDj3dR1oN8W8CKqgc6jF9F6/m8FSURukiQotwWloLuBQVgpSTqsvEUPSlbdJ1Gay2htSaQVGIZEZwLMMZtwm+2ugj9AcZ5iChK/H2n6t62xPmuU19gK10lFbRWUKrzCWdTkXhPJDje4OwH5wJdZ1AUS6zXV5gdEO2yrVvIWtrKO0I6ImW/zrZW88UGq0uSXk2HAwzGGQJGImJOk39bARUAYDFIxtJuq7zG8nyJpqohhPCAsTAJfduZcVtRc+r6uXGjC1LkltigLFd7J32DwQRaK9RVTtLsupdeb7Xescp1Tnqcc+u94hDlJGzlNOurvALjDHEaI2CBZ6k0Rb0l7UsBMowj3911BaXpqEugjfEFibYJlSt+Op+g9IVSXeyHbQEIy1DXBZTqzzR6TC4poQ4as3LS5JaYQyvtBZ+aqkE2SsFD4WnMcRYjG6U4uHnoO9L5ssDqcgVZSx/ojaYRWp1X/vtHCY0ZynUFHhJQNIxC2g9BAMh+vNJUjQfQu5HC517nq29ChNMb97HeXBMtxwHyWAc4FKFF/grOvcqTktpTztJRhvG8RRiFyMZfxWx6gvOLT9A0JabTY7/p03ToP1NK4v+G1l0rCAa4//DrAIA4ex/JgNq9bdX4YNp15NrGtsBQ7vBzwW/fRRxZg7qsINvGvwSEJyBb4s50iNIIk8OJleclO93hjA71OCVt52RAB9pnP/sMH//tJ/jghx8CXeerQs45slGKyfEUs5MZBhbx7f+9TaSqvIIQHNlkYCvDHgfRVAQa8hvLqoUFAfZGdkuL1k/CELPxEE/s37d169tMAWMIWOrnl7KR2FxvcPH4AgBw+fQCptNgAUfTVsjzBaoqhxAh0nSI1jI/VutLVFUOpSTQGTAuLEiFlKxc0I3CGFGUeLofbFYuVYu2bSy7wnUhKCB06NA2+2kY0Ao8eG8bJ5AXKyyX55hMDjwoK0ojj+CukwpRRJXNcDjDZDbH7HRGI6q473K42T9AapSuCpRNi831BqvLFfl/X668TgUsqImHBD7qOkuFVBpK7s7WnU213AK7vu5yHRkRct9GBnqpUB5ytG2FPF9BqRaccYxGMxss6btS0FFUMcvaosQtvXJrvo+ug9ISWkkIq2bIGEOaDDGZHvtuz/YyxoCZAMpWtq7j4xD1TdmgkRLl1ox5n0VnEkPTVHj27Jc4PCS5ZsanqMsaWZtaAJ6AVlSNjeYjMB7gxWPbGVotfbdPW6VTZ1++3Zp24OUwElhfrnHx+AKbzRVu3CJp8p1x6Fb71oFrYTEBrlME2KpPtrh585EHWb/uUrKFVC2KcuULH4C6UkVVIwlDaNOBBcScSKMIputQdJ3vjKyv1siXBeq88oWNO4O5YD7xcd0MABb0nGB8MMbB2SFm6czP85kdKXddR059hvRDqKNlEfIO9GtN5epNhTxf7nXtAJ3tm02Hui5QrjKvwunAkm70EWcxdNf51vpmscbzFx/5ax1kYzAuoLUD7AmEYYTJ7BCxLQrzVe7Zb4wxpCmpucK2/Lmo7WdbIzjWV/FaaWj0QMrtjrBLwLYB+S+vVwZ+dB2iOMGt2SMIIfyD5aFADOwAeMie0oJ3dI+oDIIAoc1YksEENx+c4n71gDznlUZlg1Rdl9Baoyo3MJ32QidnD+7g+M6xr6BJprXfAL1DlrQgC4Y4cyMJ43n9L/uEv85ara5wff0MFxePYYzBe++R5q8beShJFohd1yEeJJgcTrzBQrGkQ8hog/HBGPEgwdHxHO997SEeX1zi8rNLPxcEaLNcP7/Gk188wYc/+gBRElvQD7UIXSIQxhHmN6j1uz27NcbAtGZHOrLOK5+AmD0z/1ZJAvKEIQ5HY//CtVWLJmqgpaZgxQJPvTTGkJDNM1vxFkvM5yfUDpcJkmSAqtqgaUrbKaHXbzI+xGRy7Ger2lbwUjYwnfFCP2W1QZqNiM6URnSwNPTftG2FKExguJPsdYGm85tv37VNh3FVaF0XWC7PcXx8ByM9sgeu8RXLYDr07VHVSmJZlA2qNW1w9864eS9A8+AoiTxuJgjIylVEIbJxBq2OAVj+t323vSOj6q1Xd4KEA5Pp/eWa24oS9TiLwQSHtp0Zs9U+DUCyw0IIRFFqq3qG6fTI3rvOd2+0kpCqhZQNuo48FQLfmaHkQCnbsek6NG0FpRZA0Guwx3GGOE0QRqFvc7tnpBRpBbgzRysDFgRotubH+yytlX0ODFdXT/H8+ccAgCh6B3Eao1xXiDNDRi7DwCdWyTDFwQ16VvkiR2cIvOuKI6J0EVCL26CWjVMoqbG+WuP803NwznDr3n2cPjhFGAkv4hIEATrn1Gdofi07MkNzwkAuoLZ1g3Q4wNd+72tIBr+717VvcupY5PkCq4t1//mM2BRCcMwGGWJBNtTONKwuaq85sH0/RhHxzIMgIF2WrVGsC9bFssD6am1tZkswsSAA7KHtOlo7XNeFlFpBWpl2d767rq5zayTxqP3t2B1epyrXyFepjztO/9+B9qIkIvyXlc9ers79u3py8haOz254p8ambFCsC6wWl3jy+Jf99dt3zBUKZbkBX3IfQx0bSWuFLB1hdniMwXSAOI1gNDEXXDLiPXK2jJxepUXwpWTvl+vL9eX6cn25vlx/j9arK34QmC7JEmTjDNfWPQ52Tst4zxd1lU8QBOhkh2oL2R0ElEk5e1+tDCETkwg3H1rXsyTymRpA7c/hbOhnXG5uXKxLqo7iEEkWo8rJxc4JKohIIIz7eQ/N33rO+z7rhz/8Y+T5Ak1TgjHuW36jCfHanTPb5GhiKVvCOzg5us7qcoWu68hkqOugDqe4fXSIs8MDaGOwKKg1uLxY4U5z21s0FssCxTLH1fMrbBZr3LxPn33j/ikmh2NPt5Ktstxeuvfb99C5iL0piz2yQJr5YOBleItlDlb2iGRjqNplVkZVtgqzY+pIPPyNRzh7eNPTWjpNrAcHaHFgSfodIQEkL9co8wJNXXg7XGdmE4UxstEAk6MJuq7D+nJN44NyQzKvWoJpZ9Ch/D9uTrzfctnyLlVRqRbL5Tk2m2vM1RFV89ZOOXQALA+yovd9c722/u5E5cxGBPJynHcnzsIFUTKz8QDD2RDZZOAFn4Ae/d/WraWTmZ3qwT0T+mzt/9lXtnh1uUIYCURpDGH3LX1GD0ITYYTUAisd6G5bLYcwLRHiON4C9P2q2RJ1ZWy1Zpk/UjZompJYMhZUKUQIIPFnDA+o0iGXTE0dBN8+J6GZVqk3Um10lVgQBGhbavcDxOiIrCw4AD9y4qHweBoH3uKcoS6JZqisPbExhhg/nPs2rIhDMujRGok1rUlH1N2TtjMEOJqaZTOAxjtt3XccjemwWdCYpW1rHN8+wVvv3sHJ4Xyva3fMmHyzwOWzFyjXdwCQ6UxbSxSbEsW4wShJ7ay9Q9VQhemMpY5uU9fHsV6iNAIPnCpjX2vGtutxtVghXxbojLFW7DS+cGDNYDzAfDiwAj4GeU2AwKaiziPCHnXflL1NcvMGI75kkCBNhyjLNeq6QF06Ro3TDjGIkhBxGiOxNr2MMbCA4caNuwCA03u3kGQJojTC9IhMeaI4RFO3ePrLp1g8t3bbUUiusnZmT6q2JA9fFzVWl/Q8Ly4eo6pzzIMTZKMMURJZLQHCTLl3AKCzRCkFzvkrdQxeGfiVljBaEaBhi4pTFwXiJPLyrYxz31LkId+xSSTOIfNtzc50kE1NEpS6d/46un2EydEEYRx5z2HVKlx+donlxdK3ShkPMD2Z2dYRvVTOKYtuZg8CGp/MPEBjX1Q7AKxWFzBG+7axsxC+desrEKFAbf3WZdNCF8RBpzmt9AmLasmacfF8gYlF9o/nI+srwPz1txUBYeqyhggFpsdTZKMUyShFnER+M50+OEWWJsg3JdEUq5ZoNxboVG4qDzKhzyeU/Nnbt/a6die/qbQmCU2LMG1qokuKiA4s7t2giFc/OZzgxl3ynJ+fzpGOUmICSFJPHHYdRvMWWvWKfLKWCBiBXbz4h8UQhGGEJKPNF8UhydvOhqjWJdq6RZEvUTeFPfy3FMU00ZlYwCDC/fXa4QMGecNvH1hluUKeL2m+Jyj5S0dWrZAHO8DOruu8bS5jASbHUxzePEAyTH17sqkaUmWz9zYdZchGWU9jdKwZwb1+hWwkjDYeK+DwNa7t39b0bjRFvTNLfZ314tOn4IJjfjpHsCXV7eijpKqnfcDnnFs0QKILAAAgAElEQVRdh17wBaZP/D9vbVumBgH399cYQ888GaBte5Eb77+uiUoasMij4el3sF4J8ZD2XocOk/RXMQK/bm0/b60Vrq8JWPz8+UcYDEhnJB4kkK1CxAL/DAjZbs+hOEQCCt4yry2GpUFwzRCGMaYHFJCTQYJ4FnuA2/Rk5seZ3D5vgM5Nx7Qw1uGT9pXzRpBgds8myQAHN+c4mE2QRRH2WYwJSFlivbnGxcVjlOuv0b+w53+1qbAoSgzjBLrrsK4qtDXJ546tZLLgHLXFhAnR4wAcMNC17D2AeEu8ygmaOU8OegYaglEyV7UtsQHWJerCFjwKniFTbuhMLoqNF93aZy2eXWO9vkJdFwjDuAf3md77I2A0g8cASLIY2ThDVU0wP6EzenI4sUBPoqPPTqbgYoTBeID737wP87W36F5bt8WmbMhNs2np/F4XiNLYn/nJIMZmsfZUUKdc2zaSzsFG+hFcW1HyHIg+Yf+89crAX1U5GOOoi2bHLEW2DfJVjighzekwslQHB+7rejQoqUjFnuPbsc7ORhjqssL5Y5KiXV+tbTZMOuhGa6wuVlgsziFlgzSlF2J+eIx0lFlOdy9x6TnH1r4SAM4encEYg6unl29kTUrqZI5jazxYZLO+RhynKK3IyupihWJdEppzPNjxBYgHCZK6Rb7IUVrxBWcCQhxPq7FctwALyHzoYAwRClQ5ZZSTwwmmJ5RNj4cDEvaxEpdN1SC3fHCjNL1sNtMVIkJVlJgcTnHHypm+7tJWXlfaObnbnEEQ2EOJdOK1pbFprRGnMUbzkU96kkFCAElLAXQxoCkbz0AA4EU4amtFKhsJbeVaoyj1XuRxGlO2W7WoywZNVaOxiHLHLXaBRilrSRt0eBNfbnet7ju7mXTXGSjZoizXaKqGDvxGotqQngShzXtthiCwNL4RqYAd3T7C7MbMz6rdKjcVylXRMwkcVXJL1tprFjTSVweyIV3xdJRCcPErGg7lptrboOn58488GCsIeoGhtmr8fQXgzVwYD7yAjPuqSqmdjoRPAOim+Crf0fiMMQjAEEXUOTPK7OgSBEHfUVBKQ9iDWMqaAIaclNEAIEsTlC0dgOIVyOYvWtvfOQiYpxxfXn6GyeQIUXQfTdmQup4RJN1tWQYu8KtG2llwCMZHGOiBx4Gk48xXxyIi4ypnCFQXtaUJc5tU2y5GFFphMwPdKS8pS1oZlPC7hDOMBA7PDnEwGoHv2enUmoKI0hJXV888UPf4zjHCOIRqa1y9oIqVBQGKsrJMI+bPsiQMSXmv63n4ymjf4XJJlRSWFt3R+845RxpHJH/eNh6z4NRPaynRKImiaVBtSshWgguOtm6xtla/VV4RtbYp32jG/2d/9n+iaUrrJ/GuB5dSfNFgjPtiyhW6yYBkqLcr7NF8jLZu8fzj5zj/9Nz7M2TjPqE3mpIIbQs2F7STQYLp0cSfPSISiJIYyYBE6pxhXF3UKNalB7UDtO/COPJ78ovWKwN/UZAbWFGskFW7mXOeL5Bq2mhOWz+0lb6SvQKR09t3h3dd1IiTyFft589IYOL8/FMP7gIsIl8RPz1NibcPWJOMVqHLeo1i2UjIUAJbYDsAOJ1NUZwWO17K+yytFdEiGAfAPQJzvb7C4dEZ2qrF6mIFxjnyRY62bjE+GCMbpYgtADALLDq/bLwPdZVXntvtqB3ZeIDjO8eY35ghTCLIVmI4GfhrceC8WhJKO1/kyFcFVhcrlOsSTDA0ZYP11cp/f6d3fvPhTZ847LtYwLzfNECSwU3ZILxJo562ai1Pn9pZznxk6xcAoPPejSSIa9q7Hbogtrne0H1sSfJSCEK7O2StlgrFitDC5YZYAq4q5FyA89AD+Zy7m6OU7buc+JMXpNlKHjp0WK8vsVi8wHA2hFYam+s1lCTpXQfq6UznvSaiOMTkeIrhZEAAJ95XlVxwjMdDqBtz1E3rQZ9OsMd/rh2X0FiNRDsCG3h5yHd8DZqyV0vcd8y12VzTWCKMcXh25ANKlVcwzct+7YyAX07Z0Zm6aAZ0GlK1vQyvDfrbCRrdawHBQ3AR7jAfuA4B0PM0RkFK8k3QmhJJKSU5/8kWw+HMV0icMazzAoMs3ZGSfd21LVLEGfdeD+v1FZ48+TnG40NkkwHxreMQkb1mZ94EAFpXMK1ClIS7IFjOLQ2xV8IE4N+Tpmyoo7YlBARQkHDeHG0jUReNBTkG3hXOUXyzyQAn924gDcMd+t3rLClbmI6AZcvlC3z8858CAG7cO8HBzUPIpsXVs2vqdlg2i7HJvbSBj2cZRmmKOAx9pe9a2AR0tPodgvWCbjboOzfFIIBX7gttArgsClwXBdbXaxTr0la5HE3VekZHXdTotEFdF2803n3x4mM4M6nZ7BRZZsWbOIe21EVWMhTrEtyCct2e8+PAlnRWAkZd66raAAsqHsItcyrHeBJhBKUk4jTBwekBpscTJMPUUxQZD7w+TLmhxKZYFShX1PWks8npmtgOXBAgzr642/PKwN80FdJ0iM4Y1HnlUYJhFKNrO1RVDilbRFGKJEu9heU2mtBxztNh4tuRpTEQhrTKHaKROMCVF5CIwhhxMkCaDjEYTDzdz6F5hSAhDwB2ru/UkJT/++PxGJuTGowxNPX+nE76PKfPrX3mv1pfkDBNR+3prqNDcTQfYXZjhmyUeUqhO8AZY5geT2kG0/ZSv25jj+YjTI+nGM5GRFGxzksAUKxyBAvbag4ClJbmtbpYkXqYffHyVQEp++tcry8RhhHOHp1hMtv1AXjdFQmBdVXj+YfU7vzwxx8iHWQYzYbWbldayltkhV/6tq0TpSHuPx1cdU6mQVS1WwGbihwbi1VBro62zS9E6oWZAMIslOsSRhvkqw02m2u0LT3fKCI5VSe0Q4HfAGA4PNxvzAEA4/EhAKc29xK632IbmqaErKXVaNdWvyFElFjhjTj0QV6EAslWUkDUJnu4b8mYirBX4HOCSK7qJT0IQXa9YQthQq9L3pSNp5gCPboXwM7o4XVW29ZYry8hRIQoiX0HRwixg5cIeC8YFLAADGyHnw/AaimQe2PXGaCjdvL26rrOivgYj6dwIkEu4VW6hZS5TxKaxs5wuw5RnOL4zgnhaEDdqiAgfwwnkLXPCqxio/MgcNdstMLV1VN88snfYDgkS9m2aomvH5COiQu+cRZ7Hjuk9tTIgAWITITVBSXo3LZ7HVWPCW7fr85ik+g7CWsCJGtpZbiN/4y2bpBkqT8b5zdmeHB6Y0cj4XWX01ggZ8UGH338YwDArZ8/xOHZIbquw+Zq7Z0oh9MBjOngHPEASrxCa+ajzdYz5Qwc/bvBts9yzhFy7j0ATNehVdYAS0qYjtw/F4s11tebvqXNNJqyRmlNjzpt0LYtimKJqtrfip2oq0TfXS7PfdwhGWQrF9yUYGuKa23doljmVGDY4hZBYNXztKUEa5Tl2itRbtNZHXI/SQaI0xtggqGtSYDHeZlESQRhLc3dqjYl6rK2LBnhYy5j5B6KIPBjk89brwz8PjPTEk3TYDyjAyDOYqyur2m+WhcIwwpKDTHQo57a5zd+56ttJ9zSVo0/lIZjMtboug6bzTXSdEhyiIwjSUcYDWcYH0z7m5DGSEeppRr1FRO6zh96gylVePPhELWUYILh+sV+mtWAEw3hvvJ3y1mMcg6U6xLVpoSIQhzdPkIYkUyju+kiFLYDov3cqq2pjcU53wGCpUNHB0tRbyqrYifR1hJtZUVxrAri5nqD2qo0uXZ7vl7Ze04v02LxHN98/3t4+OgO8nr/tlfXdWikxC+eP8ff/Oe/AQD8+Md/giQh8NnDbz1EYLXqNefool4nGwCgqFOh7fzfaKvQV7UkMmJpP9ve5txy+EMRIQxDP8Kh6zLe570olijLDZRqEYYxGBM2yegBg0HAMBrNcf8rX9v72r/z/n+/pSDX41uMVlCa/OWzbOTtTyGo4nZALqC3X3X7wYm5iCj0TmcA4SiqtqVqiAcIrS6FsXx910JsLLCN8V67wj0nl2C6fdVWpNgXsP1VG4lap7FYPEMcp4iSBwAs9UzR+0viOgTuNZZS6zoS7jshCEiQKzAegOcC+nZA8lxkrUkFkGsftIKtjguJNCnfQXDAv9F4jpO3Tvw4qqobTEfULXv+7BL41p4P366u66A77fEujAtI2eDx459iMJjiLvuaB/ZlkwES6wYKELgvSiLCANUSWvV8cFlL1GHt/+wULb0ol7v2l0DJxtKkmfX7MEqTJLpNdCIr3nT3vXu4OZ3iKs99Qvm6Syl6t90ZslpRq//JJx/h0foRslEGLdd+fq2VQpTEGEwHSKzELGfMa4A4Gp7gDEobnwjQZfaJgjPuUZqkcB13HwAqO2c3xmB9uUaxLLw/RlPUWF2sPMU74AxNU2K9vsJy+WKva3ffica7BldXTxDHdswYZ8jSkRegauoa+ZKe6WJxbmPlCYBertndT6CXoW63OtKdMQijGGkyJACzof0bpzEBwe27pFryminWuffoqMsKxigkSUbmRl4vga4jTiOcPjj9wut8ZeDPsgmE6O1kb23NiX/5/QZKtmjzBcpyhc5oRFGC2MTgoudqalu1bPONuZVv5YJEawCSCR1PZ14sxHGbs1GKdNwLKQjLLxaRsIhjK+BhDTGyUYrT+wQui4XAzdkMd792F3/7V99/1aV+7uJceE75NjI6ilKkgwxhJAjZX+bIgiHKVYFyU2E0H/tNkEYRWEqcYm0MlNE7hjW+6osERoPMb5YF51ieL1GscjRlvYMA11bO06H3u47Ee9yB6By5kmSA7/zh+xjEMa7W+7l0daAW3fl6jV/88AP88uc/AEBzThYwfPB3f+dthJ2taNfZmbSrajkjG1/GLACstyUmU5LevKKtndAF8yyQbUc7wIlzSFTVBmW52WnzoyMhmFb292QwmOD+/d/AV77z9l7XDgBf+fZ7OwHfLS2JRbG8WJHCV6t2vNXJ08G2p1W/cY02MHFo59sdjBFQovcQd7z8KI0QxORixmCtiR1gz8oaU/LXorFVhQP/yS0/CWM1+r8IXPeq5Q4ooxUuLz/z+JqTWzeRZMmOEqbjj28zHwBXNNDxwlnnMRsvV6HBFqO4g4GSpN8gRIQoiiyaH5DScti7Dk1TUWVqOzGz40Oc3D3xhUoYCkyzAZ4srr2K5Zsszkhb3mE2wKjAqOsCH374AwguEEbvWQQ3CXW5d0E2EgHvtUzcPXGX7sBY2t43EQkY3YGHve0z0AM7tdRoqhZKkfxv15ExWNd1GIxIwtmNOt59+y6kdc1Lwv0YLcYyYRxbw70/q9UFrp9dYzCmcdbixQIbvQYTDKMZMOZjpBZImIR0/jtb3VAIxEpAWeEd/ZI+RhAE3tBHG4PGKgK6956Q+jXqska+yCGbFmEcQWuNYl3arqt1A+Q0kq3r4o0qfvod1vjIND7xGY8P6Z0MYzJG6jTqsoJSLcpyg/n8Boa24IwS+m6j+cgqad6AsmC8pqihvPmcRhiGXpAujCOkwwTD6RBREnm8SL7IUaxKVNUGAQLwJoRWEoyLnZEhQIyWKIkwPhjj1le+uNP5ysA/Gs299jbnAnfeIWqHURqf/ewz0gnvNPINUd6qcmNtePuA5io02bS+bRtGAsEo84EbgPUON16JS4TcyyIOZ0NMDvvOgGrJAthYulSxzFGuSmilcXznGO/dogsexDHSKMJ3fvs9/MW/+4vXfe47yym3bcu2xnGKg7MDNEWNZJgirTMszi+xvFhhfDSBbCWke7hdgzgMITjZU7ZaA0Og62jE4a5/mKWYZRmUMWikpEogJPGLtpa+LU5tHeMlWpngVsBBIggYmqZ/4R88+gYefeUuain3DgCCcayrCn/281/gL/79n+Px45/a+6HBOMPF+ad49sEz3P/mfdKkDoWnN7nKhW9lvgAQ6xhGGURptFOduk3t2ndRHJItaCt3faUbEoWpqg3qegNjDOI4QxIPwDiHago/jknTIW7ffgff+N63MD3eH99AWuwkpLG9sYpljtXlGufnnyDPF5hMjpAMHnhfiLaRKKyAkgPoNZaxEacxbfBIAEHQH+6WhmmUxmA6BCb9c27rFqUFb64tBqJcFxbYJ30Cua0hDvQjtq7rzZBed7k2r9YSWDFE4Uf+nh7cPEDAAhTLgrAZivmxFOMM0lVzpgNjvMdnaGofu2q/pyFa2qkmH3G650TxE1HozwwXIEiwZ+MlmcfjQ9z92luYbWFYDkcjKK2xWeRvLNftVoDAO/11hlwFOeMo8iWev/gYJzfuodyQoFQ6TDyWiRDwJQkcpZFPAl/eE66D4zozznHRd4nsz0otLRVa23OPwK1xSrSx4WyIr/+DbwAA3j49xYvV6lewFK+7KDFV0DrwY671+hIXjy8wPZ56bIELZOkwJTaLHbG6wO+kdTt0gBBg1j8h3AJcOtOfSHC0SpNuvzFodY9XKTcl8kXuu4Q0ViCBsvXVmgSxhPDfva4LtG2FNwH1OszByx2P46M7wOTIf4ZSEm1bW8nqCkJEnsINkNX29GjqDesqC1zelpBXSnnVxiiJMJyNPG1ab9n8cpvoKUUsO7TUNcui/oxy3zeMEohI4PDWIe7dOPnC63xl4I/jDKR+R85St9+iSrpoGmTjDG3dYtARp72qcjRtBeS0Od3Mnfj+ATbXGxjTIckSpKPM2xgWdjbjeN2qVd59y1hwlJbKz3AQkEyl6Egqsykb5MsC+SrHeD7Cg28/xM3pzD9EBuCrN2/iN//pt3/tQ395uVmfo8kEnotK9sHPN88Qp5SxlasCi8tLpJ8m3sMZ6OV9XSIT2Co/sG5XUUKPoJYtFiV1Kcq29ffGuQI6ip6IhK/qkkFCJkRlA20UlKLD2uEm3v9nv4nj8RifXF7uLVmsjManV1f46//41/jRj/5frJbn/v4zxlHVOS6ePsf0ZIrp8ZTwCC55s5m6iKwLI6NsNs5iDCdDPw7wqo1l7XWpwzj0ICdyr2vQNr1RSNOUqOtiS+qS6KRKtajrAsKCZx49eh+//c++i1tv33qlgtUXrcvPLnsHylZ6VbKrC1Jy3GyuUdcFURjHRySrKShRq63amWrJuMi5E8Zp5IM/0Ps0OMlj8ltQXhbZWN0DBwpdXayQLwkB7pJkr5DJ6QBxh49rkQfA3s9ea2mDL0dTF1jYlunwckZKglJb6eXIu+UBu0qSvgPgqIgm2An6bkwXBAGgNLqOZtgOmBQE5H/hKuiAMfCKo60bKEWqbFGU4u5X7+OWpapud9meXF9jc73xkq5vskxHicivaAEEFBClrDGcEjbHYS22XUQBOteYDgCbHDsOv6doWkC0CwAuMfC4DtVTPlVLmvSylSjWBcKQNCHCJMS99+7itx893Ln3bwLuc10U15pWip7pen2Fq/MXmD+dYzDOSKK6qbFZ5ORZ8tIeEw4cGwQQjJPugh0B9C3+ADxgZNfLGQK0ZPVr5cIdVbGtCQPkxicA0f3W1xvPhHFJtKqlR/S/iR234KG3Ot5OHI6ObuPo5AyrxZW9L0QXrqocxijCxViviNF8RLQ7G/SVdZF0stwuoeGSgLFu33Jr16y1hqoaz8Zxsu1d10GqFoxxxHGGdDC07K9qR1p5MGU4PDvCwXCIL1qvDPwOXW2MwvzGDPeOKOP57HphaXz0IjPGiZLTaWgtURRLiMa2fZIBtDLWOKGz4IPAZjC9rnCdV5bmpfymAIjC5biUgLUEjiOfWFR5hXJdoK0bHJ7dw3tv3fEtJ4Dmp8Mkwfvf/carLvULl9MkMGbXqWwwyTCcjbC8WGIwzpAMU2zWC1x8do4oibw1q7NQHUwGyEapN/CJ4pBoi1vALRkqFIxBtRKb6zVW50svUOQOeGrBcYQJBREXFNxhobXCg6++BwD45m++QyA0JTGyUq+vu0xHIKl8sUG+WUBZtLwQEYzRaJoSq9UlVudLkpC0pkWMsR1HMc45eCTAAwbdWTS6Ir63M5GIBwmysYSWCjwUvp3tqWE2QJY5gf/KctOLc3Qk+FLkS3Ae4p13SKL0d/7573lxqHZPOhsAfPLLX9hWp0HTVJ4TvFyeoyzWvgpMkgFGszHyVY7r6xeEprUUINI6J6172UgUq4IOrzT2troAzeMDToY/bd2iWBWW0kbOki7pW12uqPKx177tRJYkZPC0HYTtmN2jrfdd5LjXAyYXixfoPui8Yda9e19H11HC5ylw2tkiuz3D/B4inX4KfMaLAvW0RzdaY9Z+l3HuWQLcgnlbNDZBCHH7/gO8+913MZyNoJTCOKVg+2K1wmcfPMXi+eKNrtt9MRZwa33aYynImIxovuv1FdZXS3zvf/oerp5doVyXvkPhJJm7joSGAhZ4cPP2WIRx5inMYRz6Lo0b2zS201dZ++W6bFBuSAwqHiRgguGtd+/gD773m/58frZcIosiNFJiXVUvX9kr13aw3P7/dZ1jvbrA6uKm7TiSZW+1KbFZxJCt8kmGMhqB7oWv/LXCFmN2X4e2m+yowx063zXY1LXHADUlJT2MMxoF28KgXJV+BOpNapoGTV34CnjfxbhzEN3tFkxnJzQy/vM1lJJE31OtLQwFqmqDxQt634S1467yilhQdQujjB9v+8+yQLyus8nNuUS+yAk02EifSDjGWGe1M+I4w3A4RRiFVpa7f05GGcyOpzi5efhKDYcvJXu/XF+uL9eX68v15fp7tH6tgE/X0Yz19MFNTK2C2rPlivi2nCMIDOI0htZE+2utoIarSmheGNOsVBC4pSkbBCxAs2UoQzQt7Ssk77plEd8uayQ/7NgDKKp1hc1ygyRLcefdt3A6nfqsEYBtI3G8fePG/nfnJSqMyyKVkhBRiHvfuIcf/KcfYHm+ohlXnKBpSjz54Ik3t3Bt3WyUIrGCQ+kwRTZKESaRz1R7VDtJLa4uV9hcb1DlJMHrWp7JILEzchJUaesGxnSQbQOlWqTpEL/9L34bAHB7PseTxQI8YDib7SfdmUURTqdT3PrKLRwd3cZqTbMu57DmWmmOyxpwhnxZEFvBZrU0zyYxD8JIGEKFV60HBAI9CrayntNOmY7aZNp3fDaba6zXl6iqDdqmslRLBqUlwijBw4ffwnf/FRkp3f7qbRLaaOUrFay+aD158nMARG1rmtK/z05KlvQlhjg5eQtf+a2v4sUnL/A3f/kCeb70gDRtEb1hHHmlQi2Vx0F4oxltwDi5+zmaHxPMtnWVr3zKdYmyXHthEnIjFOA89oYhrkJ2VErGGII9Z51CRL6Dx3noxydVubZyxVf4+tf/Id75rffw9IOnpFjJAgu0pd/hgJHGKABiB81vTF/xOvQ6+fNYoJeTAEbf7ZEW2OjoqgcHN/Do248wOZ6iqRqEcYjK+rw//vCpR52/yYzbtyFAre+ePWEsM8FYPE2Jv/u7P8U/bf8Qt75yC7/4r7/wIFUujH/HwySyJj306x0gmX6OKKAiopGJU3NDC288BlBXqFgWWC2uEUUJBhMyazm9f4rf+d638P79+5C24i6ahkC5nz7Bz//qZ/gH//arr33pL1fpbknZYr25tiwd7buzXdeR9fr1BsUZfddh0ncX9ZaRGw8ChKwHownO0Uqy+3WfbboOtZTYrAvfzXTzfS44OkN7Qtv2uWNFqS0sRysbv/f2XcZo/+ydjTRAsfDo9hFmHxzi4tkz6kjZljvN+je4vqROGOfcOkcqFKvSA6+jKEKY9LbDcRqTe6obU1gQsAgF6bLYc6+y+950hp79YIowDq0ImnUntPd0MB3g4bcf4u7hIbL4jXn8JZq6wHh8iNMHp/6BCquWxzgDCwWipKdakXxvhLZxFAyFuu657AD8C9NWLVaXREHbrBb+pdume9Q1h5Q1hKDA19ZEdwjj0PpO1zBG4d57d/H+N7+CaZbtUFg4yM/5ZDL5NY/8c5ancrkNbx+QBZAdnM7x3u+/hx/8p78mLXYwsoFtKw/IctehGol8WSCMBFa23e84vIA9xEOyXzTa+ADoQF/MicJY9LysSd5RK4OiILW+AAG+8d338b3v9GONqm0xHQxeOe/5ojVKU3zrd97D3/3ZP8T5xacAqNUNAFI2/hA+vHWEo9tH+OjHH+HFxy/8oUE0JUBZACJtWG21DKSfR/OQW5pji2JVotyUHv1abUpPU1yvL5HnC2+3yywQLAgY7t//DfzWH/6uR7K60YdRZkcL4HXX1RUZERMNUUEqRxPUHvPBeYg0HeDG3RPMT+e4/OwSn370E1Q1gSsvLh6jlQ0GgzFYwKFNj5gOgsAnCNQ6DpAvqd3NBIMQwqtvedc529LjnEZrAG34KCJZZ86Zb6G7e8BDvtNefJ0Vigg8CX2C455n3RRYr68QBAxvf/0bePe776LrOnz4ww8hrVCQpz0aDWO29z3z7dNttoS7B2TJ3HnbXwfWcqPAKq/QtvRPHGc4fXATsxsz1FYmezwZYrGk1uizD59BNhIi5MjG+7/39ub579sHQbb1r6nFe3n1BP/tj76Pf/1v/gdcnExx/jHhIZzkuNHkOBincV9HCO4ZLXEa0WeZDhrGj2ccncvNd4tVgWKTI0lI/fHW27dI5fNwDG0MHl9doZZ0r/7D//dX+NP/40/xg//2x3j8+Kf4X//tv9njsj+f96+1xGZzDa2MF63SywJN1WB5vsLyfIG6OQNAvHttyCFR2YJGMIZQCAiLuwJoDKvtPZZKQRmDViks8gLL8yWWF0Rhds59URrtqDkywYCGQLTCfu/hZIQwjNCh8wnrPotoo3SmeOEpAMvlCwymA9z6yi2cP33iacOhiCwLpkFunQ2DIECZF2CMVB8dpU+pFrwWvqAMw8gW0FYESRONNYpDD9oGgLalhNcl4VoryIZBytZrnqQDGi8++I0HeHD3DMMkwcjqiXze+jUz/hpVnePuva/j4Vtn3lRhkmUehCUimlM7FDTTDEz2Aa1taxijIdsGxf/bGfQAACAASURBVGbtLUkBK16hnY0qoSSdWt92tiV46B9221ZgOYkpuAP45r3b+P1/8Tt45+bZF0p0vol0p7FiFgCArcRFKUliRWmEu+/cwWA6wPf/6Ps4f/zMf+/WVh+s4J5jLSx6M4xCFJaC4lXKbNB3S9uMUUkFBIF/CVweq62CW7nJUVc5mrbGrVsP8Qf/4+9jPqDOzIvVCiwIcDqdYJTsN+MHgDQM8e7ZGd773tfxtz96BICCr5QtOK+x2Vxh+WKBznT4+u1bqIsaF48vvDiJEy2JkhCN1Y1XFuzmBEgAkCBNbc01KjK9yRcbAvgVGywWdJgWxQpt2/hD11gDn7t3v4Zv/cH7uHH/xo6mu+umsD0DH0AZvuP0AvDsFpdQuMAdDxKMDsaYpCk+eecOri6e+cBfNwWwPLdaFxE4J8yAO1DcweQFe2xSIUSIMIytfW0fTDtj/Dvv3jPOhaVHsj5oABZPQ92lfQV80mxMoleWFuWqp1bWaJsKB4dnuPfePbx1eozivQLPP3qOzWKNKIn7WX+3pW0eSAQB993Dl1fXaSu7zJEkAyRZQvNcpT3AS1swlZItZrNjzG/OrdypxnA2RFFW+PQn5KVx+dklojTC4c0DzE6me107QCDerjMe3Otm/O663NJaoq4NfvCX/xn/5H/573Dr4ZmXuK02lVfja2vpPUg80HTrPhFORftEDSAJ5/XVGmu7l7TSGM/GOH1AQOV3z27hZ0+f4s/+3Z/jf/sv38fRyZnHRv3w+3+CTx//BEWx2hvZ7godx2baFmJarS6wvL7Eo9EjjA/GFJxfLLE4v8bFZ5de5Ct4EGBsA1GrFATnSKyKXyeET1C272XZtiiaBmVVY/FsgYvHF/7aXddDC+2p5VJq6xvRAdp4ueDBdICDgzN88snfvhG4DwCc3oRSPaMn3yxgtMHZw5v4iz9qUVVrJAkllWGYQGvt6cWbzTWkbJDEA3Cb2DohK2cbDtD7I1u7d42x3iQhNOfkf2ITfilJnIvzEEHAyK7ckPlYByAMQ49nuveNe5gPhkjCcKfz/fJ6ZeA3lnt7+/4D3D448JX03cND3P/mfZx/ek4UFMup70wHrhnqnaqDgTHihTtuJQE8OKI4QWArFxZwBAh8e9Ip5RljYIQB0066s5d8FCLCrbfu43f/1e/iW2/dRRKGYF+QseZ1jdlgf+lWevEZOhgE9j1VioKYk5S8/dYN6H/0TfzV/y1x+ezFjspfW3NoJaG0BJccXTeAlmT8sy0vHMahbXmDdLqtQYfn+9ogFnDmD4+marDJF2jaGmk6xD/+n/8JvnP/vufJlm2LNIowHwx3AI+vs2rZggUMWRzhxr0bOD4mY4mf//y/2jY/VQAvXnyKi88uIBjHrRtHeHp2gNUFVV6uVRclMbSt3p0okVYatZUa5RaZWm0qtNZ7YLNaWtpejs2GMmnid9suAeMIGMf9+9/E7/zh7+H+N+/be2OrSot675/hfssln4RuVlvSvb2Y0PbBdTaf4+33H+HZB099K9615bt6AylDbOv9M8Z9JUB/p/tWN6fAT3rhfauduUPE7p8gjBFFkQfabne1ndZFnMVeF/51l1ItpGzR1AWapvSBr20qSNViPr+J+c05xmmKd756FxefXeCHf/xD1EXpA5pSLbQizwWjxRZoqtc8pyUtdVAhTYd+lIWO1Ow89clqaURxiunJDELQO5MOU3Rdhyc/f4LPfv4ZAFI1i9LIguv2uvTdZVv+HtXvOPgdMVeYlQ/++JO/wY/+5If4l//6H+OZNaj62V/+9P9n701ibcvO87Bvr2a3p7vtu6+vIqtYLBbJkkhRMkMhkixLQqwATgaJJzEQTYKMjABBgCAZB0EmyjTNyEAmCeIEEYzASRTbkmWFcgRRNmmxr2J1r7ndaXe3up3Bv9Y657LIxzpvFvAugGBVvfvOPXvvtdfffQ02i00E8QqvXRJYIuEdNiqN7JGgvNiuGywvyNUvSG1XkxLFpMRbv/Imjsdj/IP//Y/xj//n/xPf/vb/g/Pz95HnVfyedUMBk4Lknjx+t1WK3D4jeh/6rsaTJz9As34br3/pdRzcOcDmwRoffOcDLC9XePdb7/rPcOjvH0caqRAidnlIX8BXwGHMOQxo2g71osbqaoXrZ9dYXSyjVn9apDeknHWvvPfHQOMtlkRXxJOHJzj5wcNYGe+7doux8O8AsN7Msbpa4dGbj3B4eIZ33nkWQbzh2QVNCu3PziRhkEMwedNIkECmWexeG6Ohh54STMYITOwctCbDJa07/3PqJkiSMeR5CecGcM5w99P38NbXSKTs8ekJJOcY5TncMOCnlTwvDPxdV4MxgYeffYDDqoqBf1wUeOsNmm8bbZAVFaA00lxCqwQyc0i8Rv1uizMExLAJur6OhyGGAdZtkd50gQLD4B+wr7gYG6JRyMnJGX7l3/wV/PovfgGToviJ87wgCnFd13sH/puzLoZgLKLUVjwHADql8eDVe7j8wqtYX69vtHfyvEIiU/9dyCbYJjQnq+vljk7CiA50L3pjjYXuVHRA3A1eIYjOr56jbVdIkOALf+3L+J2vfgmS84jkdc7hZDLGQVXtHfgBGhPUfQ8uOabTIwDAwcEdOGvQqxbL5QU++uh7+OA7b6I3BifjMarpKFLzdK8wf76IwiWq11HJTPc6tuC5JHOZzXyNvieKTF2vYvDYRehKmcFajbKa4pVXvoCv/M4v48EbD5CVWcSHANuZHxMM7CUwrFLmXj7a+bbfxysna01kIAjG8Nbrr+L8q+dYL9bxz3f3pDG9P1iEFx3yn5kE5sg2qWWM++o/hcx2OwNhPEAU0YAG3x0bAYi2oHmV4/TxT+fz/qS1Wl1Cq0AR3d5/Gu0kODgg4SbOGB4eHuHzf+1zePbOM7z33XduPKvw921iwT0rhhKpbSVF3bxQyVHxQP4PDn23fY+s0eBcYDQ6IAGZ8zkuPrzAg888gO403v+r97adJs8m6VuF6cn+3Z5YJYcWyo+dK0FZNKzNZo5v/NGf42/9u7+FX/yFNwAA82fX+OG/eAd906OaVuhFT7SuHZMVAOhT6R3XtqON1dUK5bjAK59/Fa9/lhLuUZ7jW995B9//Fz/E3/8n/xJf/9N/gOfP34uJYhj1xXvqr2HfdvcNxkHy8ffm4uIDPPn+E7z1tbdw594xlDHIRwW+9/9+D9dPyLxnsA6605gcT8A9nqWVpGgqhIAxwVHQeGMjTZbcVysszhdoVg3R93ynLrAdgupnKBy44CgnJdiOJfDdT9/FB9/5AFKmN+TLP+na7ViFAhQg35rl+QLTr3wWn/nKZ/DkyQ9jdzqcORGz4wyss1Cqo8R/hxVG0tVblkjopjEuos8ISzi4kLF4jF3wxEFmKdK0oI5jynH2yhne/OqbeHjvFADtk9yf9fIFXe7kpcAvt+t23a7bdbtu1+36/+W6pfPdrtt1u27X7bpdP0frNvDfrtt1u27X7bpdP0frNvDfrtt1u27X7bpdP0frNvDfrtt1u27X7bpdP0frNvDfrtt1u27X7bpdP0frNvDfrtt1u27X7bpdP0frhTz+qpoOgSfKGMcXv/hrAID/4L/4u3jj3l0cj8eosgx5Sv7qgrH4z71XZyL+YQJlLXqt4QYSvnBeGav3nE5tTdR1BsixKXBKg2czQBxau6Pdv/vzqRCQfMtn1tZCGeJPcsbwxt27eym5/O7v/odD8BDnnCPLSAJxdDDG6GCE0cEI1aRCMcrRbjq891fvwWqLYpSTTS1IW7+akXPaj9vzOmOjbWmaSQzDVrc9XF5w9Kq9BLBRGlmRIR8VKMak/R/kk7nn+we726un1+jbPjoa/if//r/zia//P/rP/+shzTOcv3+OrMzw6hde9dc+inKiVpuoM51mEmlOvPHCOwHmqUSZZpCcozfk3sW933Xd99D+2Ush0GuNvlfQnUa7bmANSVg6Y+PviKp82sC5Ac26Qb2ooToVZYCDVvryco5yPEKSJHjv3e/gT//0f93r2T988MZgLO2dk5OHePyYHA9PHpxCphJMMH/NGfKKbIe5YPF50bNjXtwjifuBC4Y0zyDzrZ0tE7S/yLXSy9O2yos68ag8yDknhbCWNP9Vr9FtWvzoX72Hr/+jP8RHH30/8ralTDEeHyLLSuR5hT/+4//pE1//3/1Pf38I3OTxwQjVlMRR0oKUBKV/1kIKlNMSx9MJMkkOjD/uNS84B/fSrfQuk+5F+2PqbUF0ijMGzhiUMfH9BQCtTfSj517y+u7hAR4cHkJwjv/7n38Df++//G8BAD/4wV9E9bRhcDBG7/Xsf/M3/87gnPNCRl10J7TW4s6dx/jb//Hfwb/3m7+GIk3hhgGLusaypXduy6Untbqw3wevJ8IZQybEDVlx53VNemPQaY1ea6RCYFaWUTxJW4fUWxYHa9thGDBvGvz3/8Mf4O/9/u9j6R0kEyRRf8A6g6urJ5/4+n/7t39vuHP/Ad786pu48/gORlPSPpkUBcqUzrBU8BtWxVWWYVqWUdJ9VpawzqHu+7gflk0DYy16Y+KZP99s0GqNTdeh64mfH95h3eso12yNhbM2avQ36xaL8wXe+fZ38KMffRNdV0fVvKCHEdweLy4+2OvZ/2f/1X831Msa5++d47d/77dxckTKj5fXSxRVjlQICM7AE+Zjn4TkArmU0Q0vT1PkUkJyBjeQXHHYByxJ4HZEwMKzt35/KM/rT5BE74Un8zn+6E/+AhcfXuCNX/4silGO9/7qffzT/+Wf4Otf/wOsVldRb2BXI4PUB3/y3n9h4L8pWcpxdu8VAMDJdEIf6lx8iNZfQKMUOGPxRR683aKxLl5I+PNwwfHnvEkDQIlAyANYclNMwjgHltDNCS+G8IIabnDx7/VGo+57uIHkZ/ddQWBHysxbi/rfr2kDDjv6yvWqhlGkJ80Ej7bBIRgH8xWABC4SwW/YmTq7k/QYG/+7ahVEKlGOKelwjsQ+wuczwbz5EX1WkWd4fEr2nFdnR3j64Tk2883eZiWL8yXKKUkzl5MyyoE67wduNYkMCSmi2AWXJLoSflfXK5jSoUhTSG+WBHiN7p3kjfnEjHOOpEjIstY5mF6Telf47klCmv69jomT0WTEY7S5cQ9DADZKR7W/fZb2qpGHh2d49OhNnNynexpkhklLn9/we0+SDAkbotoifQ8Gawcw4QVBvMgQM1uzEudNW/iw9avnO+Yj3F+WMxaqp3vPGGl6J0mC17/0Opxz+Kf/R4uFt8wVgoQ+AOytYFaMclIFk5yU53a8DqIMMmfxnSXvdUA5i5QHSWEKEACiWtsw0LMeMERxEbtzr6Iqoj8zgl1r+LMkBDNtoJME665DqxQOqgqvf+phVJf87nf/jD7nJa1Z5/Pn0WiMBFjoOz548Ab+5u/9W/hbX/tlFGkK6xxWbYtV26Lue3RKxz0u/KFvrEUuJcZ5jirLkAlS79u9buOLmU3XxftV9z16o3FQUdLFkgR2GEhDdKDzkDOGaVHgV3/jy/jn//Cr+MY3/hAAoHryL0CSgP1U7bafvKTMcPr4FCcPjjGaVtHqOEjuMtBZK4UAT7ZJTm8MWE/vQgh4jVIxuIU4wZIk2vfawUFbA6VNDPpdTXa8Rm/lnYPSqdX0vodzZzQ6QFXN0PcN6dYDUbt+GEjIaN/Vtz2WF0scPzjG2ckhnp5f0ce6AUrpGLi93hLcQPEsFQKZjzGlP++GYQBL6P0IirKcbZ+I24mDfBhg/TmojSGvA38+zKoKr3/+U7h6eo3z989x//X7OLx7iOO7d2JRvvV8+WTn/AsDP2fbP5Yyx/3XyYRhWpJKXqeV//8dp7XgNGS3G9sNA4y1Nw763UwnrODTbCx5yIfAniDZeaE4tK/iU8Fh3QBtDAR3kCHZ8MmAsc7LANOLtO/q+xZZVkBwieAiFlbCGRIvVzwMA5olZfycU4DfNUYhxzEek4AoNWlJxQsAzDBEYxLnHCUHSYLEH7BhBVWycAAyxqibwBMIxjHOc9w/JCe+4/EYSZLgusqxmW/2uvbNfI3x4RjZjKr4wWdT9bLeBrYoIUnX1Dc9+qZH6/dAMS5Q5Bm03XZ16p40+XeVuURKyn3KG5JYbaKRE4DoU5AkCbqmQ7vpwDmD6smzXHc6HgqhSogSoVrHamCf5ZxDVU1x//5ncPb4fpQfjdk0S0h729LvMdoiSRQAehbhZwD4pMRFpT2jDCU5lENApGTUceP3GwcHR0md84cG9459vfLJwdbf+/UvvY568ev4sz/5hwBo73LOX8qohEsBDu+lMdx0PoPfv6SmGd51SlyMc2AZXVQyuFh5Wedg3fYMKOT2erU16BQ5tFESQdWUdcON4Mg5xyAH72FBXY8lW+OZlBCc4WQyxmd/hVzovvnNO1518eXEyS4uPogGQ9YajEekCverf/Nv4Hf/+lcxzgv0WuNivcaiqaGMpapV65ioAHTIl2mKg6pE7oNC78+usLYe9t6LxCdJwWHvekPdhjvTKUrfYRCco8pInnwYBrxycoxf/I0v43vf+3P6Hf1TSpZf4vrTtMDx/WOMDqibG3T1f/SjJyjHBR6enaDTCYyzkFxAcI7Ef/feX9ayoTgwDAPUjvkOS6jDu2zorJzXDQX+TnlFPgWtDHUTjYmumtbYrWGaI48SkQpMDqeYXh97cxwy9HGDAxsoeXbD/olfu2kxPZniy7/zZazardlamqdwkqMdesANcCUlctoYWN9pDl42ocKnAofik/yxLg9AcRA7/034OAkAEttEuNcab967h+dfeAU//MsfohwXKMYlHr35EId/cher1dUNmWFgR33yp6wXBn7ryKXIGoM0zXF4RgHFDUCvFZS14Iy0hjljyKQAIKGtjdX9jZb8MPjg7g+MHb1zxihLdM6hUSq2hRlj4DsfEbJA5xx6vf27QQ5xZ1pAmsZpCqZ1zDj3Wc4ZclTiAnLIYstZpjL+Lysy2qjWRi3u3Ut2xtFh5YNXaPuSJj9DeATDMFCgcP6ecRa7BLtJRKi4tCJjCmssjNJIizS2RtdesrdIU0yLAiux2duhjQkOxhnyUYHxwSg+J7VT0QshYBkd2F3dxwoxXJMzDk3doh4GH0DIYlb7ij0tKCgJxaE67Tsd2/NqGAY4c9MWVbUK9bKOPgfaB3/naETi4n3mGM0qcMFRLCd7XTtAUsv37r2Ge49euXn/o2MdSXSKlPaesxbOUSueeRnmUJlkZUYugVJQ58gN3s2OPtNoS8mVP9yKEXV1wpgj6NVvFnVMbML9SfMMQgrkVY63f+Pt+Off+PN/jNXqCqcnjzAa76fV364bcP+Zzrr4PYdhgEzDs7UYOKcAnDWosgyCsW3gGwDOKVHPpIAbgE4p9Mag1fpjhyBAwUIwDuscjLVUHPgXmvEEksm4H5xx6Jsel8sVUsExyQu8+dU3AQCP/6+3cHH+/g352X2W1mQ5ba2B4BKPHpMO+ld+65dwUJXQ1uJ8tcL5ahVb2nXfw1gbKzvBOWZliWlZQBmLC7VGJiXSnc4XQCY2oQDqtUbn/9cqhUb1uFyT/PP7V1c4m81wUJYQnGNeb9AqHUemn/nKG7j7v30KAEkIG6O9pfB+Jj1ZkWE0q5AkdD63/TYZp6Jl27EL1W44x8O1W6cg/PMNI77wM41SWPrzqWk7bz1N9rKqVbGjtZu0UQKdgANQdoBqaYRQjAoUxQhCpChLesfblmS/mTe+2Xd97qufw/3HZ6iyDN///vsx6R2GnuSxfcFHyYwFBGJhE1bvk53QvTPOwWoNwRiNvsLIcuf7Sc6BJCQsIbGmfVKmKViS4HOvvYL3/up9XD29xqkUOH18B2//4q+RJfD1U7qnzWrHE+SnJ34vDPx0EJEDWJoWZIMIoFW9z8odhiHZye5sDLyhlcf9xbIEMYsfhiHO/Hedr0LgDzckzAQBxE1FLWMGZay3dRyQ+raKdVvf5/D3qfV/s3r4pCvMi4LmesiqZE4BP7ieNas62oOCJRCpjNrbobp3zsH1FkgSCOvIwz7ZVvxgCTjIcILjpu764FysrpOELDxpzm7ioRySko5rNN4ZcJTneHB4CDcMeMI/ftC+aJ29cobj+8dRBz4kLs5SIsM5I8+BllzwnHXIWQZgp5pTGuqSOi15lYNxjqzMUPixRTjUg+f6bpJjFLX5h2GIyY7zVWGaSTjrsJmv0W46n/wYyEzCmG2Wn48KDG5AWY73unYAODt7FQ8ffwbjozFVzuF5+io/8b4KQvLovJZVObI8ja0rZyhoMsbAMw4hvR2z3HZ2AEoAyzwDZwy91sikhGLbVngPep7FuEBWZrSfLPm9a6XJxpMzTI+n+OKvkSWz7hS+//2/QNOukRf7WdP2TY+sSqA7RS6Qjr5vCp+gG4ukyGgc0/gErDIYV2UMtNY5dFqBJzsjDeegrIU2W9Mjzujs4IxB+oTJOAfjLAY37IyYBhhjoNqeRgaCuh+qU7je1Nh0ffzMg4NT5MUITbu+YYT0SRd5lHAwxnBy+gh/42//GwCAtx89ghuAi/UaT+ZzmldrjXXXYXDDjUQjTyWMczhfrWJlzH0rfzfp6Y0BZwkSeNyL74qEyi8kCXXb4fvrj1CUOTIp0Shqh1dFjnsHM3z+0UP82r/9OwCAZ//Nu9E+e981OZ4gHxVIQJ2a0NU5un+MVAg0/uwX/sxNfSAzfjwD0Ai2B/y4ZvCB38bOyLqmil+1NAroG+/M2fTQSmNwLlp2AzvYHktdJK0oCRGSI8tKFMUoGsr1fRM17p3Y/8x/+/OvY922uFytob23CEDdtsQXYowl0FahS1Oa3YPiTOiO9EaTwVmaoszSaHY0DFT9R4fVUED5dyB0g5kf04SVpyk6rXE0GuHw7iHe/6v3MDuZYXoyxVtfewvPn34QLYFV30Z8h3tB0vczZ/whAKUy89Wcb+NzQCTcuxIl0M5hsBaJr6xD24MzBm4NWOKzJK39vNxXkCZkVEMEQGwr/STeoBC4BWdgCYPg24MT8HNBnzSwnSBpnYsztH1XmM0zxmO7HqDWdF5lyKscCWfo6h5W2+gXTSC+nUref07iZ/rMG3U4N0TbUZkKGN+6T5KEZqiOKh5jt/Nw+oxw0fQSODeQS2ImobSJJj3hOQh2E3T1SVY5KeJ3S9iOz7rdtvmDRS3jdG1aGVjTwHpXPsYZqkmJclqBcbInttbGqjEA8bqm82AcDrdjshO7QTtJi8xSODdA9WR12jc92k7BmB7G6PjSJ0lCnuyZBH+JWd+dO48xPhzHaxx2klGR8hiQGKekSIV7lSTIKwI5pRUZsGRVjjSTsXUZPjMkfTJLkQnqBoS5dgAKXS5X0ZY0uLd1NVVKxnd7uKCuwmhWYXxISc6bX30TXAp89MEP0ff7jTpCYhKSqJiYcQ4uKdjKjFzlhBRksrJu0ZYNRgf0+6Xg0GbXcdAH/2FAktDZEZYbBjhrY8cgBD3OWXyXtbOAG2InijFG2I5e4/p8jtQnIvEauIhg3H1XUYwhZQYpU3z2s7+CL331CwAQW7vrtoXx48NN05LhFGc0IvHXqYxFrxsCQ3KOVIgbc95d7AKAGOwDANA4C2Pdtn08KtH0Cm4Y0CoFoy2BHbVBkab49OkpvvabvwQA+Kd/8DqWy0sk3iFunzU9nkKmEgOoTW93EunOOrQdPc8s3YLZUikhGYOKNcz2rAnVK7Dt5gaDotA9DMWEtRYJS8C4ABfbMyvgYqyld8YZC+cTLZZwCL51sBRcgnPxUgY9ADCvayhj0KybaIsL0HnU++KOC468ym8AUnc7zQmoyg+J3C6+6UYnw8c642NUwLhlQiAVYvseJAlyKWGcxdkrZ/jg2+9j/nyOYlRgcjTBm19+G8+evQMA2GwW0fb7RWf+LZ3vdt2u23W7btft+jlaPxPc5wYHzgWq0Sy2k8OKVTRjsZIP7cqQ2WRCwFjE1hBAmZ921LYJWU3IDKVHvXKfDQ0/lhkb6yIeIvxs+EzlsQW7jAKAMtJUvPBSf+JiCfPo6JxaSiOq5MpxiazMID2qmigUWztHgNrc/j/4FjaDFCmh8H1HgxgB9GMBxBfoGOQ37z9zx242ccnH5v7WWKKzecDcpb/+ddsik5KqyD07HqvLFYqJweHZAdI8RVdTmzJJEBG4IqUxQMITWG2hlY64BwC+rV9C+FFHGBWpTt+Yv2VFhsE5NOuW7Ig9lccaG2f2/lbCaGotG0VjjnxUwBqHzar36F6PLJYZ1ldrqr5fAuQ0OZhBSD9C0rvfYcBgXfwu3abFerHGMAyYHE5RTspY9eWjAqePTnHy8ARVWeBkXHrKjsGAAevG31NG4FUCxqZUcSiFrldoVy2Wl2Q3q1qFelWjWTXxefdND8YZTh6e4M7jO5H9cfzgBM4NEKnA8up6r2sXksCjgW0Q7EatMTCKEabCEhYhKzOwMHpQWy93OyQecEqgplzK2EHsPWo5PFTJaa6/9q1wYEuLs75dGSq+NJOQeer3iYLxe0R1CpnvtFAnTYEz8VLgRmodWwiR4jNf+QweerBsmMEbS23rdd2gb3o/j01pn/u91rSdx+iwLcV4Z4Ybrj9gGViSIPXnWSo4MghYN0RQoHM0y193HdpNC6sN+laBC452QmDPz5ydAQB++bd+Fe+99y1sNouX6PSVdG/V1joXoE5fxPbIm2epcc7T1+hMytM0diq0Nej1AGtpvt+0XezqCUlzbc55HOvEzuZOtzm883QfBqiOOh7SSGijoHQX3/sA6HPORRrmPoslCZR/r+iR+fgyODhHnSmZiniWARQHW9VvgZrWYsAQmReB1hl+NlT/IcbtXmsYhYd9EZbgRKF8cHSI9x7fwepqBdX1SFiCB6/fxxtv/DIAYD5/huvrpxgG98Jj72dGQ/LK5sjzKs5aOq1xkFbxSwP0gtIMhkVgH7BFOIYL0jsXBuDGjN84B3gEpPDtkUAHYfEBDLA/LxnZPQAAIABJREFUBtTb5fsTjWZ7E1MhIBmD3R/jQy0nj28oJ2XkM5N/NtGcnKUDUvgxiJAceZXFtq7qFNp1C6MMysmArMjgsOWih4QhSRJPD3QAH27MRXeDX0iQdmeKxP++CXQEAG0seqXjAb7PatZt5I8HnAJAbWC76egg8t+xXbew1qIYFaimVWx1i1Qg9Wh4ZwjE07c9+rq7gdoXQmwTRT/DTvMUg3MRuQ/Q7LldN1CdQt8qCk6OZr9JsqWR0X2zWyDiSwC80jyjWXK4l4Et4AbUyxqr+RxdV0OIFFU1BZc8JjMyo2BTjApwwSHkNvhlQsAODp3SN5gvnBGaXXJ6v4yzEJJjcjyJjIJdhHFWZrDa4urJJebPF9jMNxjNRignJQAgL1McnB1Adwrjg/1m/IEuyQWHVvoGLzjxLBKAZq6q1+AecDc4F5kZfeOBgEUa29eBzdNpFQN7aHtTAu1igiskjaiM2yb+IhUYleRF3kIRXkZw2CSBNTZSLe9++i7yPx9htb7au9UN0Ixf6x4HB3fw1tfeipS2zoOEW62xbBpoj0HBMMAYC+5HLwAl8oyH+e+wBW39hAQ8SRA1SATnkQa5O+Ij8LREbwx0KmILPo4zrcWkoPfui//6F/GHf/8MTbPem8qZFWk8cwi0Gih127Efoe81TCahCwupFHIpUfjWf6B2J0mCVhHNkUB9DQbrkI/ofoazyloLJljc50Z5im6YHeyMCwAK/l0TePuEwdrl8Qsh4Zx9KTpn3fdoNy3adQPdq0gRHoYhjhwDSFdbg9bjqYxzUceAJwkkFyjTlCicUoAl7GNnsB0GDM4iQRLb/gH9r72OBUBxTFuDVAgcj8d48MYDfPDt98E49/grh6O7RwCA09PHWK2uYK1+4Zn/wsDvBhe5kE2zilUfiWsYcJZGPn2VZTB2W8GHL73pOxRpBqU1JQdu+xB3QS5JQvzQQIFJfTBgnhMaL8Jny7tzfOdBJgBVxOGqUsEh/Hw+GfY//DkXEFwiTVNU0wrlxHNayxzCi/AE8FBe5pHTnzCGYkSHUF7l0D1R1doNzYiywjMEnI2oUR4vb4iz1dAFGHyAA4gVwBgD4wmsGajq0STgEwCHgXetlcFmvoFReu/M35qbVW5YzgZxDE60qo6qjXJcUrUrtp0d1Smsr9e+OiduelZmOLx7BC55rKRDlZjmKeFIWEJ0Nk/dCYmPVsYnUg0uPrjA5UdXqBdLWKvBuUSeV7CWnofWKnZkfpzq8kkWlwTiCTQy7fEIRhlcnT/HanWF6fQY9z/1GAd3DuKMN3SCAODw7BDltMThhKhRgrMo+LFO2ljNBrCU8IFCcg4pplHoJfC7ny4WGB+OkRYZDioSVlk0Nc7fv8DTd57CKBPBSDKVyPIUo4Nx7Bx90rWZbyiBHd2ckTvrQZSpiJTFUNWaRqNVJiaDaZGi3XRQvUZe5ZH1o63FMAB85zsZawkAzBPo3nr0NHUBtmwYhqrIMSkKKA+qG+x234SzCQCO7h4ilRmsNeBsPzYLALTtBowxPHz4Odw5mGHu6WeRlaAUdNDy8JWqsw5G6S0jxTg4TsybWLT4ImbAEHVHQvUXcQAhcR3onA1FDPMBfhcTED6z7XpPJaTf/emzU5ycPMKHH353726X0TayboAtlXY3f7Y+0ZOpRJIAmRQ3mAraGDQAUs7jd8qkwGQo0AsZKd/hvFfGYC0FdEd0vsB6Cc8+iIUNvlBK85RArUWK0WiKohhjvb6Kvz9NC3+Oqr2uHQD6XuHyo8uIQwiJaJpJwti0dN6pTkFIDj0ywIjwH0ErJt3BtylfuYcieRe8Hu5ZuNeSE8CVJQmkEDBBlMcRMD5JKM6+du8ufQ+WYDobo6s7zO4Qc+fRozdxfv4erq6evPDMf2Hg36IRHebzZ1g8J+Sg9q2uKktQpJkHI/CIym+1RuczocDDt4NDr00ErTjf4gvfLRMSoyyPB5p1Dp2nggC48QIE2l54UbKE/j5AiEputxUKZwlVVi9R9UmZkfKZV8kLLWyZU7uRSwHlxXFClQvgBn1PenW3NM+Ig+8D42AGj4bfBliZCjDGYXZabQA8mCm86Nu2P+ArC/9CME4CN+2GDkHnwTCqVei7/V6CbYULz7HV8TO33yuBSAnkyBhDs2q8+AZ992EYkBUpJkcTandPR5CCww5UKfb+sDaNjolNoPKEoE/fIaD6PbCoynFwdgiRShTjAovzBZbzKzDGIX1rl3MRlQU533/MQ7oLgsBGOyOnelUDw4AHD17D/c/cx8HZoQ+EHGmRQqYCab7dJ0WeRYEiyQUkp3elzLIb1ZwbqK1bZdmNhJj+3lb46GQ8jmAqgA6cWVkhKzJcPbncfqbkcM5TCfcc8zjroIcBPIDWPMI6qBMaTfuTeSU5LgWYMGjmm7jvi1EBo+i5pnmK8dEYeZlHrnZYVhMNNi1SDNZBZilGRU7BvVeR0nQynWBcFOiUwnxTo1k30MpAhGfEWQRBPvvRc6zW1xgGB232r/qyrMBodIC3/rXPY1LkaBV9btMrdFpjvqlRL4jJwyWHTCUQgFg7XTLnbqqJCp/M7HZKAeqKBjCX893MIHq2y3AKRUBfd7HjNTgaRbVax+85ynI8fP0VfPObEt2ewa9Z1Wg3Vfz3XcEmxhgJ+KQCMhXISzqvR3ke6XthhepV+o6r3rmOzI8KRlkOliRovVJhn2tsuj52yYKuSbtpoZMk7qVy6rtaVQ7OOSaXR7i+fgKAxKoG52CNfilGx5PvP8Gzd5+inFSQqYhAV+a7z1oRsDCvMgLUlgVG+U0qa3jWQdQnoPat71yH5G5XzwagZI/GBir+e1iScxjnIDnHyXiMu3eOcL3eIBMC48NxVFg8e3wf9z56DW27Qf+CUccnPhHXq2tcfkSSkM66rSqXMTGzG4Zhm+34jR0oHSxJsEIL2zsv6EFVe5hhFWlKG4gztIpmaYSKNMh2ssQkYcg4ZV+Fn91LfwCFDNkNOweL26qB7buqcorRbILZ6Qzjg1GcIcpsS1lbXi7x7N3nmJ5McXBnhmJcIiuyrRiNsbFCl6mAzFPKaHuisoSKn9ntjCtW1YISoyDxCwCJI3Ef7aliCafWK72MlIGHA5B7udfAe95nOUd0sXbT+pZ1mPOyWK1zQVxvow0W1wsYZZBXeUSWjw9GODg7RDUtIRiPe0NbCycGqNiWpww/XHc4NMOhrz2XWCsDowyMHxlYY5GXOcYHI3RNi76r0e+097qugRDZS1X8wDbh0v5ehHXn4QPce+0eqkkFLqjSF4JDpgKJR5uH7221QZ2lsIeT2MbNhMA4z6PSV6gCJkWBWVkikxIfXF3huq5RpinWHbUxGWOYlmWUwDXWEmUoTZF+mhKPekFCTcMwkGDQnjROgPbs4AYIwcGKLNIuaazEI50wPItyUmB0MCKqX0A6CwbnOGAsdXqKDJOyQCcFNusGyncmGPcMF0+LHJc5lLHoeoWyyHEypr1UpGmkx33w3Q/QNz2KUYHx4dhXgiw+I+MrVtpH+wf+ohjj5PgBzl45Q9NvA2fg2BtDrWjdKwyD3N4bsYNJ8gF503YYlzkS0FkXBIpikAAFiTie8xglau/eFD2r+x7NqoHq6F2hcR/he9Zti8qLJwHA0b0jJEjA2H5Jb71sMG0VhBAf6xRRUktjJskFCj/XF34MEbo4gbYduryd0pHPL4XArKQgdTIeQ1kL0bZx/Cs5h02DzolPYgWLSVaap4SvUQZcclSzCg9ffS0yV5pmjaZZeuXN/Z/9X/6jv0RbN3jjlz5L1L0QlK0lzIgkRtf4cAKRiqjjAGw72FoK5DKl930Yokw9/DXudkdCMscYg2Dsxkg7stp28W6MpIJPJxOikYKKzqCJMj4Y4d7913Bx+SGuX5D0/QwevyNKCBIo3WF1uQIAlHmGIs08R1PHjTsMQwR1hKwlzPSHYQBPWJSuDCpO4WaFeYgbaMMH4N8wEEAw9Ydk2GTCV0JhLhYxBHY7zw5+AbsgwX3W+GCC6fEU0+MpqtkotnCFFBicg+4dnr/7HO/+8Fson05xdu8Rju4f4ejeESqfgYWqnoB7Dtxn0CKVXvmPPjN0CbggEZwwXw8qfvHbM1LzC69kANOJVNBYxDqoNbUmm3Wz5UvL/Vqeg3VoNy0WFwtPwZPxehhjMAO13ROWYHG+wDAMuPvqXcxOp3HGHbAH7aaDzGSsXqxvi4ZVTkqag8sdDwN/j6y1MZHpmx5dQ5KeYfbftz1Up5EVOaRM0fd07VorqL6D1gpFsT+PP4JtjLvR8WCM4eDOAYpRcQOwZYwF0xZZKeL3V71GvWpIX/xOg/l0jZPDGe7OZjgajeKLDbYFfO7q1LdKeeqYxw5wDqV13O/WOZRZ6kFgKY4OpzHw93WHfFRQZ2rTYZ/lPF9a9RppkcXZeVZmUc8g3PuEAVlD3hHlpIgUzSD6tFnUviNCVW0qBCZFgd4EhUUKdkH8xjpqix5NxhjleTwIL9drXM6XeP7eOS4+uIg6BlxyjMUIMpdgXpb8M195Ax+++xv44z/6H9Gr/a49PGMkDLpXuK63CoBUtTkSEXIE9rLakE+Gf19Dizgc5lppJCzBOM9jEQTmIsaBqnoNzhIoExQQbSxYwjvTWwvV9kTnbDqoVnl/jwGNc7jabOLZmyRUZMAHm31W4zE0aSa9MqQ/P4QH4vmglnJO57CvbHO5HWmE50mywyaqsKZCYJTnOPRd3VGe42qziWDWq9UafdMTvoAlEScVfm8WlCK1weJigXbVQGQS44MRHr9Kqo19V+PDD78LoxXUS1D6vvUv/xnKcoLX7Ouxy0q/0/oRbhHFtrq6gzMWtsggGEfN+nj/qyzx2jXO448ctPcpCC38IOkc8BBGShSpjPL0ITYyD1wnDRcHwRgORiMc1DUpOQoeu4ztpsNoMsV0ehy7ID9p/cx0MCg/ZWmBB288AACczWaY+I3c77R1jbPotCblvh1kfQAnADTXKUOw20EeGkfiDvSZ1Po5Go9jGyyP8xN6wVoPGKG2Cil+Ka9cFwOMrxx3FQL3WZOjCSYnU1SzCnmZx+BJc/wkBsa23Xhd7xbzq0Mszs/ivZqdkMmDViYGxIAFEEJg4FtQW2irCclhNAGFrK+Cw4GbZjICCxNG6lRBTCYg4vsIsCKDnoSzGyOFT7K6rqFZu0fz5t54h3FG+gX+Ja8XGyRJgrNXzlBMCnR1F0cNAAmtcN8GD6Aw3et4QAJB/naAzKXXLnBRhEL1Ogb+cA0BU5BmEs269feMqgTV01x6PV9htbpC267QtfvJFYffEToz9GLSfw8ARpkKyCyNmIqu7oiJ4EGbALVErTa4/OgK6/kGo1mF6+kcF/cO8farr2BWUstSa01zUsbQao15vcGT+fxjMtPam5wEwZegAR4S7yrLUPqEc3W58s8tw4bvP+biP1aVhP/Piiw+/3bT0jtwvsSB16kIZlIAMD4aI80ltDJoNy3mvnIJstsAgaKqLEPq5YEBSu6tc3gyn0P78+X66TWevfsMm/kGjCc0NsokJVm+fRqAgAd3DvDZL30B3/jGH8K+hJANYwJKtbh6eo3jBydxdAUEXwUvKKQNAAHhSEHSWRs9IkjK24PvjPUdGueFjew28PsCx3iQlzE2Jvt2B0lvdjpOMiUFwwjCHIBm1WDpK/4iJWxHUYxe2O79SatvelhtKJEVPGI2Ii7Ld6xy320tvCENZyzu10YptKpH06tY6WdSYiwI8BaEa54uFni+XOJqs8H1+RzLy1XsGIlURN2YhJFQFsDhLOG+glmP8BiSgzt0zj5qPoeur9Gr9oUCNj9t/ehH38S9e6+jXTUoxyUQMCaeScU4g1YGXNJ4qvS4k0yIG1ox1lFstG6AdA6ZlJBBkj3GIud1Owj7tmjqmCAVvhAGEJUPue8IJwnJXgvOiOWWJBHU6xxJg6cyf+GI88UCPqGuTBJMJkc4eXQKgAxvDkcjcJag1+QoJTiDUwNWbQtlLRY1bbhdIQFy6trK6vKExZa5sQ6LpomtMMEZMkEtfZbcpPM1SuH5colV24IzhlGex4z55gyFNPCHlwz805MpJodjlOPSO6/5l8ARkr9ZUkV9585jaK2w2czRNEvU9TJm2kIKlDsuevGldgMGub03VDV4Exef6aahkmcsdhtk7imEnj5HP0ttV917cQyfqeZVHqk3Pdsv+12vrqG1wmCnyIo04hvSPI30GplJyExiejIFYwmaZQOZSUyOST4zBMdIfXHU9Qho+1BF654Q2hWqGw5sw0CH61bDfyvpG4CCaZGiGOVb3f5+C8Jbra6g+g7tSwR+kQrYAEQTW6Db9HiKalqiGJekvhiSliyF6hSY4Eh36E5pnqKclFhdrrCZb5Ak53j27lNYbfH2a6/SszEG0ouA8CTBO+cXeHJ1jSRJkGdpbA0yPx5LhYjV3bxpkHKOcVHAOYezE6KehVl7voNN+aQrjFmcdTdAc5wT8roYFSgmBU7TU3R1h67uUIwKjMZlxLq0PiEbHYyxWdDsXykNzjmatruR+JnSIE1lvM5N22F9vcZmvo6J3fJyiXbTIq9yHJ4dYHw4oZEbYxE8GrADy8slEpYgz0rsK1kLULGjNbXVm3XzsTk30UmJkhqug0vuRbc8m6fXFCgcdbBC9zHgOEJFH55MmJFra4nKqUm+tl3R9bebNio1YhggUgmZCpK47QyaVY11oDMORLWcTI6wmD/f69oD4DaMd8I5xjmnatfTg7sd1dUQmAIINRgMRVDeAKCifb6o6yhDfLFeYXmxwvJySQmjBzGHszrQp7kQJBYlBIwiqm/f9GjrBqwl6mnh5eSP75+gad5AXS9fSsQnjAz6tr8BCwtnXeh4ilQgy8iJdl7XN4x4Nn2HyzU95yJNMS1LTPzcPygY0q0dsPFGU3Xf4+lygWEIuJ0SM98Z4R7XxhLqco+Lgp6B0uSPwVgURasmJZx1mEyPkWXlT73On6nVzxlxS3c/5LrexJkkgGi/aJ3Dsm2wbFqs1556VKRxo3daE1Cp6/wsfovGB7ZGFaGdvzu776McosFqtUGzbpHmKappiVXbEqXF2BuKUqElmsn9wV0AVfzVdES66dbGl2FwDovzJZ6++xRMMNx99Bicc6yuVlguL2CtjVXv+noNzhlESm25kMkHmduwkoTsThlcpJENgzessUM8gEM7v9209N+GAfmoiC55u+Y3WZERDiBJboAPP8nqVQcuJJRXCdtVrsMwRAvealZFdPX0ZEpWsn4ThmQnALraVXODxrdVAxyQlUQjChbDAMn2rucb1IttEpkWqXcC3GEF2ECjkx9DPQ9wlIjtuYLOAhMMiUUMnqNZ5UFuHsTlecXh9wcJX8AHUMExPpzgiXiCZ+8+Q1d3aNYNsm/9KB5suaQDRFlytztfraBaRYkb51uwj3XIvBTsuut2aF/0nugdS87xwQjLixUG62Kr/pOuwTq4JIFuNZp1jbKjA0ikAhcfXOD6yTVGByPMTmfISuoApHmKTAqcHhO6uB5vzwtnaL8641DN6LPiOM57NxSjIrZW+7bHZr7G6nqNxTmZr2ilMTma4ODOASZHE9IP8EG4b/qIiQmfabRBwvgNIOwnvv6BLHmDFHT43DDOVG1AnyNKznLJMViH1O+TMJ92dkDfkd6AyiQaflOOO6zQsQsdI84ZwJJIcQsKmVySAqbRJtLcjKbzpt347pfgUL0mW2LsV/AYQ4E6jGfDXq5mFXL/z6GyF4r7ka2+QbsNRkq7AF3V9qjXBP4N37NZNlhfrwjM3GlcP7tGvayR5ikO7hxgdjoFQKBS0dIIras7bJY16lWD1eqKuol5Gs+M0azC8Z27WCxeeSkef1GMUJZjAq6yrQJrcMIEiK1klI76FX3bo1k2sTNUTkqKHbMK46rEpCAA4DgvIjsD2LowrtoWy7bB6nIF5wbMncPzjBJsgJ69TCWOx2NkQqDVGuM8Q28Mrq+WmMxGcd9VsxEuPrjAxfn7aNv1T73OT4TqH48OUJYTrLyQyJ//2b8CYwkOzg4jAC3hDJmvTrpeRVqR6jVUsZXplamguak/LMPLzgRt6GbVEFd7x8jFahtbiNbY2AYqJ1U0TQkvU5skaP1BNyoLFGn6MZ/wT7qyKgfj1NZP3LaNWS9r9H7OFmY+nDOkxTGqWYV21URK3tWTKzjrMD4coxgV0GyrS29ixY5oMDMMA5p1i2bdYDPfRHOM0D4OGf/gKDtOixSj2Sh+fpIksQpx/tBP8zSiPj/x8u5qfd/A6skN+lBWUKVdTiqS4TUWMpdoNy3W1yvwXZdBfzC2my6ivIMAUUgQaEZuohBLWH2rsLpa3Qj8dMCT772z3pveOjCWoJqNbiQ4QggkYHtzmQEK4ui9cIqX6ASIwxusgIOWQgTnePBRwGeIRMA5h3JcYnI8weJ8gXZDQKZ23eLyQwLLFj5IdlojlzIC37hgaLqemAQAVlcrtKs27oHp6QyHZ4cYjcsoihMYAJkgoKe1W72FfdauR4X2z+TZO0+x2SzhnEVZTjA9nhG9MCe6azWtIsioHJcYHYyQZ74j0/VQXQ/RbJNCgPZ9uyHhJtUpSjrcgM1ig27TxvHQ7GSK6ekM1WT7O0Jgjtz5kOw5tyM4tf97HzqdBL41N4yCCFhGVefuCCBJEgzpTRosAEgv21zkmW/P8mhRTH8PviXsYOP3JVyMtXZryrUTWJMkQVZm8bxMWOJ97P2Ir+2347E9AW5Ef91SpXeT+N5ft2p7Gkn4MWR4D9WOMyaL7Xnag2vr6Bxf1ZEd1tU9dK/QNz0uLj7C1dUTMMZwdvYpjGZVvO8BSKraHpdPrrB4vsByeYG+p45r33ZbJpF12CxWSNM82jTvs4LVb1pQNy+Md50biEnix3l0nZRkOt9RDglNmkkszol6Oz2eYjWrUFYFpmUZhazCfdp0HS6XK69zQoJgXUM6J2HcFpgjm9Mpxodj6rZMpzDWYnGxuEGhLicl2k2HunlxsXMr2Xu7btftul2363b9HK2fOeMfTw4xnhyhaVZYnFMWEWhVH37vQwBb0YdyUuLup+6imlY32llGmS0PvcxgrUOzajwljMXPCFXu8nKJxfM5tDIYH4xQTbeVXF5lqCZkRlLNKu/3buPcWbUqtoCNtUg9FW6XQvFJVwC0AWHGSFVEmhM3fXmxhOoUzT49x1lmNHtbeaMaaltuoHuN2ekUxbiETAWEpFaS0T5Lv+pjBt2sG6wul1jPN+iaFs4ZsCTQJ4mmkqYZpMxRjHKiM3EW2667GWVoze8LcTDWYBgcpEyp1eYBmQFJPLhty8vZAcvLJZoVtbtCe8wai3bTYnWxhNYajPGIDRBSxGpOZhLVtMQwIErROkNVW73eYLWiylh5hHaWlRBCoO9b9H1D1EPdoSgmODq6CwBgCYfW6qX0G8K9E5JDK0Juh32qWqpQMAywfnzDGEOnOqSZxPJyibV/9lmR4cFnH4ILBiEE8jIj3IOnXa7nHoHf9HEUZMoMaZGBCQOtSDp06dvdi4slnr1LehrODTg4O8Dpo1OcPjrF8YNjMtHJ6Xtm3riH0Mh73gMvXJR7lbxQSS4W53FmPJ4ckiPYjwBjNMbjAxzfvRMrxNnpDCcPTzA7mULmtH90rwkJbW3cT3mVE0PAt3C7uoNMhe9mZXHEUk5LopV6GeXBI+r7tofuVHROAwgMRoZQ+wtXhZUkDPAdnTAucM6j1oMgleBb9T4QaDfs6TSTpE0wbEdBQcDH+vYwgNiyh/+80DHKigycMyjfzRg83kJ7NoXV227AEOSSfbfBWoe+7tB19d7Xzzkn7YsgUOa7DPPnc3RNh3pRY3W1wvp6HTugeUXSzaFCTbzITjkpgYFGHaolEbPNfIPVFbHDuq5G19Wo6wXW62sMw4CDgzOc3L2Lg7PDeOYHcGjQJKnrJZw1EILMecK4ByCQ4wCH4+MHGI+P9rp2wFtPS9p35ERJ97huyBLbOX9v6w6qU1Cdjo59sePhHBjnmJ3OIvtlU2RY5BLFuETlFRarLEOrCehslMH6eo3F+Ryr63Vk5QAEEA8jH2sc1HRra61ahfX1KnYNi1FB976coCynP/U6Xxj4D4/uoaqmuL5+irIYx7bH4dkBFudLXH54SRe1XEOpFqnMMX82x+x0Gl26psdTFKM8uq0NA80K+7rD8nIZW92611GnXqYCxbhE7tvKCdt6t1ezEabHExzdOcTd2QzTooAdBnRK4XK9xiprY5BT2uB6U2NSFJi+xJx/NKuwWdS4+ugKRptI0ZOpoANHGQ+AIotM0nanmVQ1oZ9tNy257vUJNouaZEYPRtFRLyzd0XjEaBtFUQI4TysdxSwAajnmVU6HIrupTEdJhYifGWaAwH5CHs5ZSJmiqEYop2U80MIz1Iqel1EGi/MFmnVDDm2bFmLHR6DvOswXz0lFjXsfBi6j+h8ASJmjLEfkc60MrNFRf9tag66jAKn6DsZqbDZzAnUZAli5wUGrDlr1Ua2rKEYx8XkZvfZwrc45Uln0B6hRmhgaOyMrrTSaZYMnP/gI5+cfYLOhQF2WY7zxhbdx77X70cGw3OH+B5ZC39I7EKydOad58ep6jeXFAqXfS2997a3IDy8mBQbrsL5eo9u0EJLj4OzwBg+YHOu6vQ9/6W2lw6w4BKmiGKGqJkjAwIVE267RdTWsNZjPn6Np1ii8BXCQPF1drSBSEZPT0h9Q3AeUECBqR4mWkHRfRUqJS9jLBGgltbxAoYw0ujylv+fvZzWtcPzgGJPJMa4uP9r7uSeMgzHu3eBsbCMTct9FZbswl08ScoKUPtgDNOqQmYxYhFQKjIsC0mM2dGD4+Dax8fgWKbfKbcBWMrrrCTgqAguKG3JpdA7WODA3RCBkmqeYP1+grhcvh3Hw+COrDdbXFKTDqC7olswvz1E3y5iMl8UYozHhO4pqREqeY0ocdwN/33Zx9q5UR/4aqve5G5dhAAAgAElEQVSiSYc4PLyL8cEISZLg6il5TDTLOnoy1KsGjHFUoxnqzQJZVuLkwWk8m3WvUY7GaDZrGLM/uM8aDSkJM2CUjjorXd3RWMkYdOsWzbpFvV5B9d3HRmlBxrle1mhWNSZHE5STCtW0xPRkBnZnm5w7R2OM+fM5zt97jsuPrtCsiJKc+3FV3/QYH4zgDGGOuOSYe/B8EK6aHBGgmjFiXe06lf6k9cJoOJ3Si+OcxeNXPo+HbzwEAHqpjiY4uDNDs27p4F/WFLiUxvp6HefM6+s1xoek2sV4EudGXAr0TR9FgUKm29WE6A2KXn3To5xWyP3cvm96MijoNa4v5qTeNsoxynKUHmMQ1P7sQOIKRD/Z//BXvcb102usr9c4vHsYZ1Z922NxTtV+s2pigImUF199A9Tt2KyWyPOKqCj+wXAvkBH48SY1xG/3oBjuJXhH04peeLnVyg9CGiKVNFP0FYPVxHkPgBzAo3Ql4Nx+U500LVCWpGEwOdrqxVtNhkRBOnftM3ijDNp2jbpeRiR1oJNQVW7BuQDnpKNtrSVZQJA09NUVVfIsYbA7OtvOGjQNVdBNs4IxKnpHJAmDdcb7BnBYZ9B4IJ+1BmU5RpoWN6hpn3RxwWH1ALiBgrTZ0lMZZ1RVLTe4enKNxcUCcAMuL59AiBRnZ4TWPzg+AuMcT995iq7ucOeVOzi4M6MukeCR8w6QMpjMfRAwJlbI8+cLPHzzEQDgU6cneGdSoF7VePDGAyQJ0UC//fXvoJxUmJ7ObiioSc6h2P6SxSHoA1uUNwBMDw8x8rr/NHedklLnpoXqgnXwFmC3ulyRmcoOMKpdN4Q58YVBu27ifg3vUOhQtOsWG69LkGYSB2eHyMosVnhWW5TTkqidRbplyDCG8/fPUZYTHJ882OvaASDPK0wmRxFE2wZdjFUb5Xmdc7H7xTgnQNfxJAKy0jylrl6SoCrIwvVqtUaepRjnOcZe111Zi04rj8kgv5Ew959v6jg3jmwVTd2RYSDvgs18DdVrSix9fsclx9N3n0Kpfu+kr5yWYL6T8eN+9EwQcHXkNRoSxrDZzNH3Lbq+jvQ5rWh239WdZ11o9H0PpVoo1W3fbWdJYjtJUJUzlCUFrw9/8L6n4tKzN0aTUVw5QZoVJGudZphMTzA7OUBe5Zh73MD5R0+gVAdr9Uthe7K8QpoWvlvZRfxIV5N+SMBuiZTOMqWXMVkPVESa+TvYlUHbbnD1tEA1qXD2qbsoJxUKv9+PxiP0hir9iw8u8Py9c8wvL9G2azDGMTbEVJCePRDooRgGbNbEoBKCk4KljyPDMETm14vYTC8M/FdXT9H3LcaTQzz81KdxdJ9aJ8JXowAB4NI8xeJ8gcXzOdaLDfpOoRjRTc+N9ahbQn2XkypuKqKr0RdeX6+xmq/Qtquou56JLHpcB3BbAFisr9eUkXvqFxdkaHLy8CSizBPOUBY53DDgyXyOtx892msTtOsWWbmVVg3f1blA5xnQdTWWywto3aMsJ2iaFZpmhYMDcsqaTo+hVIt6s0DTrGH0HZTTEpwTuG0rFLP1vnaeQzsKLbQdFS0u+LYi8x0Go02k8wE7IKdhIJS8YB8DHf2slSQJqskIR3cPUYyKHc30hBK0qxVWlytcPrlA065i5q91B9V7yeDBkpCO6mhcwQQ4p2oqmD8BNFIqqylmszsoqhKLqwvMF8/RdTU2m3lE5bftOnYOimKMPPdocyG9PreD8Vr9wlJbTggJ7v0m9llCEmJXpPJGqzwie1uFzXyN66fX4JLj7NN3kXCGer2KUqHVbISTBydRdMgog82iJjGbfHuYA0CaS19lWRhuUJUFtbytw0ffo6qVqk+Lw7NDzJ/PcfdTZzi8e4TXvvQaOfP5vQ6Q+EcqBBrOYvv9k65AjSNtfh3/vsykB7FSKzSwMKzXnNh15zOK5JJDKzwrMnRNh81ig3JcxMR4GOXoWyoAgtPdMAzEkLlYxs/Ligzr6zVEKlHNqljh9E2/7SL45DhoYoxGM/T9nb2uHQC++Itfw8PPPkS76XyV72lrxkAGcy5FoMkEdB5WUzIxC8A1ZweU0xKVByBnWYoyz+CG4YbWCABsuh5ztYEQAuMyh+QCdU9F1NQnSMMwQGm6v2pU0Ci01zDG+nGHjn4SCWPom5Zkq+1+srWnj05RjAq0mzYyLgDq3AYtjlDwnb8/xfP3nmG9vobbCbLaKCRd7QsYAWsNsSSshlJtrPidtVC6QyopllxfP8VyeYHF/DnabhMDd3jnsqzE4eFdzGanKIoxGGNYrS5hvqvi+VMUIwiRgjFBo74918nxA8yODkkoadPGuEMBNYUYiHERfEOyrkDX1XDWRMEg7s3dnHMwhlxD+77F4d0jyEziaETJ89l0hk1HDJZn7z7D5fOnuL5+SuO0JEEwmDp+fg9ndz+Ne6/do6TL0bme5inyUQG3arbmVqmg0Wk5jefjT1ovPBHG4wMMg0XbboiSFXnX5PgW5iqB2hWQ+XW9wPWlF+zhErOjE48Sdjh9fAdpJom24jNqAFjNV1ivr9H3Tdywy+Ul2paESMLhHQJlYAnQn3EILjEaH+DLv/mVKBkbMALPknNqq7/99l6bwGiDydHEt7GbWHUPg4ytesElhJDIshLj8SGur5+ibddI08L/rENVzcC4xeXlh8T7f+VOpAjWS8rKAl4grKzIoBXNeTM/G6brDi1nCvaMJ5Ev2zf91pEOiAe21RZJul/m7xw9P2q38hj4uSQubUDqd32Nul7RC91uUDfLmGlaH3zTNIcQEqrvYN32ZQ4t+PH4CF94/Yv4hb/+CxiGAd/++rfx4Uffw2LxHHW9jC2raIIEb+/aN74DIJBlPapqAim31DVjFNI0j5XEvitoK3ApbjAQrCFLVJFK3H/9PspJgcO7R7jzyim6ur8xlzbKQH+ocfLwBN2mhQYlBM5tdQwCfmCXIWCsxeRkiuMHx+jCO3K5wr1P38WDzzxAMSowKQu0ShHexQf9EPhTX+VnWXqjav8ky3rEtrMOSilIuX33Es5QjItIbyILXNqLzbqJe0/6blSUYXYO7YoEr2Ynsxi49Zhm0+2mJfxE23t2yBpCcGw21Gr+4L2nmE5PIYTEwfERTh6eIKtyTA7HseMWOhsyo2RtubzA9fXTvZ97PiqQlTnKSRWFnICbokZhpMYlKW0aZfD84llkE6R5hr7tUS9q0pzIUxSTEuPDMVhZYOXd5axXbhusQ9M25I3ADLpekReIHzMENkgQEJJ5Ct50N9gRZse19O1f/0UUowp/+id/sNe1Hz84ps9jJJKzq14XBJv6pke3adEsawxR88HEin+wGv8fe2/WJMlx54n9wuM+8qqsrKOrqi80gMZBgOQsucNZ2kiUVrYyW5Ne9gvoe+lNb3qTTKaHlWTaHWl3Z6gZDjnDC2c3+qor78y4w91DD393jyyS0+jq14WbwRpo1JER4eH/63fUNeEkhGhgMwdJf4C27UPOJGFDQPK6Rb6BxWxYi3Mz2vP9EIPhAVzVpbVgwXZcaAnmIt8iTZfq3kk1z6Yz3/MCeF6IPN++FY//4PAemG0jX+c0zlTvjhu4SBR2ra4aLC+XuLx8aq5ls5mZ8ywMexgoHn1TE6WSXAQFvKCjm4ceUdZrxRDx/RB7e8ewLIa6LsxZ1uuPMZ+/QpatkAxilZwFGEYx0Qpt1o1NPRfFJsdqfY3XaVi8NvB/8MFP8Itf/FtIKTFSAgkAsLxcEGVgTUCPxcUC8/krrNdTFEUKzmvD+7dtBw2vMTk8wauvn2PvaIT9k31VrXMzO94/3lf2ljWE4Ei3S3DBDWVDB1LbdhGGCTwvgGWxG/a1x/dPsX+6b0AWfuRjcDDEqJcYnfjbLsFFB+hSmaemc9g2g+f7ODg4Q2+PXNCur/ooy6wLVrxBVeXUwfBDCEEBuiro5VlcKuOjkoBPRZZDiAaeR4Is2m5SX38QBeiNexhOiHKilfVISY3scvXn1HNGdltwF2jurjUAHM81VY8QZFLheDTPjOMhiiLFbPaSXkbeoOGaTshhq2ocIF0I3tTqReiEOiaTM3z6s0/x+AfvomoapMsUv/llhKahtr7ZS8yB7biU6DkeLIvBZjaqukRdF7AsC70e7dNde+LdZOBNF7NtMNGiVSAn/cz9yIfg1HkZHgwpAHgk7hEmAXp7na5Atk6RrXPUZWWc+3xlLFIXdVfNej6CKEDcjxANYgySCFXDMewlYB/cxfTF1HwuP/SxPxogVA6WvSAAV6CxG59fzcE9x0F1W73+lrwT6rJClq0QhRSkE9YzDmVVVsLxaG/pDpg2rgEIC1FXFRpew3U8xP0ezYjXUwRR0FVSCpimaZqk/FjAthmSUc902Wazl6jrEqPxBKfvnyIZ9uAG1IGQQtLscwcoXGYlrq+fYz6//Yx/qd7JO+/cITCx0h6oy9rw6EXDCZNkWwrnlJF/iOo+uJ6DfFtg9nJK3bNhgqgXYjPbKOyOSiIUVsAPfSNXq6lju108oo2RsZfrOYgGsVHwZIzB8jrMTCslXN/F3tHotVXfn1pxPybRrKKGZTMzsl1NV1hPCXQ9n19itbpGWabqfHbguT5cT4l8eSG9l1UO1/Wxv38H9z+6j2SU4OUXI5S/UPTUzRxVTVgePV5JkhGSZAjfj0zFK/U4zyI3VKHiggb26mIAgKr0qcoWb2HSE4Y9SCGQ5iVEI0zXIWwj2PsD1GWNl19/Y4oS1/Xw6NEP8PTpb4xBmO9HsLTBHVr0+2MM9kYKnOqYd9WChYN+Hw8+vo+4HyNdp0gGCVbTFRbnc7JoB3VhFpcLPP/yK1w9u8Z7P3ofB/0+QnW/i15sBL3m53NcvjjHZjMzXZA/tV4bDe9+eBdN8zM8efIrjO+MkSoU8pN/eIKLZ6+wXF7RDRaNyrBKc5jr9uxodIh3PvwAzGbYrJYIexFGR3tG8au317Wna4XO1f/tBYRSdxzbtAZDNc/bFVTQak/aC16jIfcnI/JDdpy3RvdKIRAPKFPfVSXT2gWORzzdoEez5LP7j5H0RgaF3x+NO5OZpjKzubqosbpeGyCH57tG255a3GtCggcxwjjBekm2k59//nM4jof9/VPce/QuobldmxD2nAOyUwPU6Hnm2Abx+6YrivokYmEzo6dA90MakR7bYUiXKfJ8gyQZ4M6dd5AkI/P7m7pClq9Vu54qt1YKCEkv1HBISpDf//M/x+n7pxhFETZlgcnZBKen7yNNl6jrwmAFXNeHbbsEvmHUTmOMoWlqbDYzlGVqMvAwTBRY1IHj3L7Vr5fj2EadTy8/CuBqYZKdVrDuuOz6EAAwTl+O5xowD7MtMHVd8SBGNIgR9iMcjoY46PexznPM0xRh4OPoAY2NmpK6DI5tK/c2AsMGCtdScd6NpRiDaOlQZM7tMA6CS0C2KIsUZZnBVa1YXjfYzDc0AlE67tk6x3a9IqBlKxH4XaDhoqGuj+CY9A8AK8JmTaMRbR7EHBseuoo2iAMUaQE3pICrRVxs5weoyhrHD49w8u6J6aqQnryNOApNJbVBYTqCt3UmpJ9po9iSJoUX7CMMaf/oM8i2bVRQ+hMKVyOEQNSLTIVYpgXSVYZMMRW8YInhwdAIu+jxhBd45PuhTIayNXkDbGYbZWlNe0kn9UEcwPVdNU6lc24XQ6HXqy9f4fKbC+NdcZtrd32X+ORpYfxZ6qrB/OoaV1ffYDZ7qYTKmhsAWt2yj+K+KnQixDFd8/3v3cf4aA8Hdw8MW+rv/4OFly8/h5QxgiBGr7eHfn9f4XcsE3TbtiVhnaSHuqxQFCnquiBRI1UU9vvUqUiSIRWNvDZjv9ssPTOvy0rZsdP+640SSCnx/IunWC4vMRwe4OjoIYpiC8tm+OB7P8LBPTrP8nVGnbEkRLHJjeeBF3hoygbzlOJoPwwR+z5++OG7mJ4dYbFNEQXkzlk1DQqFmxn2Eggp8erZJb742y+QrTPEj3wMwgi+4+BqvcYypWTq/KtXePHiMxRFemP88kfX+bqbMH0xRV0XSoSlNBt/q6xo795//4a6EDlGkYZ0mSvUIaOWdlM1GB8eYHy8h8lkhHxQQQphKqmLJ5doao7hZEStTkUL88JOHASgioeQstp9a+dADqmiOp0QFqEfhGikRFnXRhv8Notm5NLI9erAb1n0Imisg+u7pMgHGCc/rdmtUZdlVqIoPPT7I4wOR3A8B5v5Br5mKwxIfUmKVmnLcyTJHiZnEwRRgFK1Bql9xjGbvYSUAtnmDEf3j9T/sxCPEjPq0M9mtw36pqvfH8FxHUOvMrPtqiFEeyMIZFkXePjwe7j38X3sn+zfGEs4novZyxm+/tXX+ObLL1TVVkAIjjge4JMf/hQA8OFffEht450Rxdn7d7HdLrBaXaKuu9mZY7vw/MC4jglBwJ8o6hN2wMwFGaQUaFsBxm5f8UtVzWk3ul2hKcuyKKFSYFU/9OEGnqnGtHSsNmcCqIPQti0sboGDgzfC7CetxhiFAZIggK/sTEOPgGClUq3ceiXKhuQ9kyBAa0lYSue7VbNjjQLf/dO+ZeB/9eJr3Dl9iMOzU6ymsWmZbldb1HWJpilhMwdlleH6+jkcx8N4fAdh2EPUo/nlajFTCeEIR2d38OFPPsRqukaxpcRu75je0WSUwGIWpq9mSJc0/9f3Ub9bAPDgk4dgNkN/v28Se8aYkXL1nc4T3rFtJCNSYLPZ7YGdySAxIzSpzHh2lz7EdZK3XWyV0FEnspMut6jrGo7jKootjfOqvFLOfvRMoz7RFJktdqi/NTazDYq0NKBJ3giD+RANx+JiYYDSfkjvnAaetS39/lJ5iNxm2Y5NDAzF6NDU1DxPcXX1DabXz1BVBTwvQODvwfU6+rDGtpC1eAPbbuD7EU7eO8Xde8c4GgywiOMbCnhhmGA+O0earcyIkJJNz7zjSTLA8YNTSCFx+Yxa3k1DnSSmun9sV5f+Lc47vaiL2qI37KE/7hsQatu2uHhyAdu28dH3f4yzx6dIRj1TcCbDxMRHqUzIvNBHUzeYPrvG7JwKtyItsNh2gd+yLCRBgF4Y4qDfNyq4nmObij72SfypuncXx3cPsVpskJYVjgbkT7BMM1w/J0+Ky6dXWCzOTTfkn1qvDfy/+4efI81WGA4PcOfRCQ7uTgDAINGD2FczTwnOqYWdb3KlS75VN4yy8tFRH3E/wsn9Y9yfTMhljNk3NoEUwqjCNTW1m5qyRgaYFyqIA7ipayxTHU9XnzY5dDFm6HyNlOgHAUZRhPotaC1VXpEvtGIhaMlK49HMLOMlTo59hAKn2aZGpdNc2vVd06bcP92H5ALpuG8wDrxu6BC0iAfLG45kECNMSGu9P6J2a7+3h6ouMdk/xfjwCLzhKPNSyfNaN6Rsed0g7EXGSew2y1VWv6IR2C7TTh5XSiQD0lH46Kcf4/ve942GQZWTslax0e6ABTbzDdFN+nTQc15jNDzEe//sMe5/fJ9+l0KwA6Q4h7ZF1Ivw0Y9+gGyV4eoluUwtFudomlpVlzVRmSRXCRqpQ7quShD9iFqg6NqAt1mtbI3Pu+3ahk5psc6e1lKIedsl9zlmqypzB6vheGoWrpLipqoVaLBLpraLrQG2NYLjyvUgpEToughc17TxqqZB1VgoqhpCSmOOQrN2qeRZtTVq5+Xu3pLVMBwSIM6yLPSGPbQtHX7paoPtdo6qKuA4HoIgRhT1VWcgRb83NoHa9yNK1BwPQkispmu8/PwlVfOea9gBe+MBLMvC3Q/u4uXnL8kZTnlD7AZ+P/QRJiEBYoU0mCLJhZqLdwc9U8p2fxQQ3nA1dYNk2NESdRDROJdWaQZo3RCSIxbKxVHjUSSSQQLX98z3eQFRDqfPr5Gqin98Z08BBm1kqxTpkvbCVml/6IrfC8mAKRkmBI5WbAM/JMqjH/mwd15xZtsoyvTWyn0aYKoT1lrJRafpEmWZIoz6mEzuIk6GCMMElsXAOYHrtESsFMJgefb2qEMz6fcQeC6CuqM8fu8vv4f7H9/HF3/7OV48eYKyzFUlz+E4iekIhkmAYksdCDJlUwwI21ESu330VBAEOjDg29jyRv0YbuCiv9czoyyA8GKn753g3of30N/vm86N73vw1TtqYhnnQETUzbWV3/BVWM/WJuHPBn2M4hiucjjUcr5l06DmAr6jVF3VyLUXhPiLd9/FIk1RccJUyJbGQjpBW02XilnVvv2Mf7G8wGAwwfHxO9g73kM/oEx7fDJGUzYm0NYFAb02OSFxt4utuQm9vR5GhzSPHh6McDKi9rtt0XyjPKSNVVcNens91EVtAGRlVilp1M63Pt/mgJIg1tVl1I8xOZtgNB4g9n2j659VFYq6Im/kt8gASXiImZd6q6RTNQhvt70WJgGg+LxgFkrtGue7YHY3itg7oo6G7dvYOxqZB9ZUjdF574/7HYiv4QiTAMfv3AFASYdoOCZ3D9AbJXTfRgmydY58kxnBCL1c3yMDkVtevhd4SIaxMaLRTlm7VEHdrtQgT4tZGE6GZqwwvyBRjvHJGKPDRwgTGsP0lLa0lqbNNpSdauc27TkQxAHOHp/h3eYRAOD6+TVW12tcvTxHkW/AFXhQI4dbKSgyA/C9ALJV5kxvMeaRsjVuWAAMata1u5k+aQkoWVvFVNGCRnpZTBoueroiyqsf+vB81wiZ5NsCjudgdb3CerrCYDKEpzjg2r0OIHoqV7LOjfo82g61Uh0t6w+c+OQOluJNV2/YU0HXQ5lZZo9uNjPYtoPJ5Axx3EN/Qm3QzXwDz3fVTJ6uNVJmIXpOffn0EvOLKTzfN4BRgKoZ17bh3DuGbdtk2LJKjTCPHgloZoXxceACrdJT0EHfWNhyAh9zXr8VwOvq1Qv09z4ErzkWl0vTwdHmLFTx+2iqGqnQFK4Wm9XSVFlxrOiKaYEizVA3JeJ4gCCmWf5muTHX09vrgTfcUGPzTUEA2rKb0UpJFEbCEZBMeLElaXBd+Oj38OI3F4S/2sxee/j/qaX38XaxpTFSpDq6C4kkGWE4PMBofIBklBCzZdV1FXSgresSrLURhj0cv3NsOpBcAT1HqogJkwCCC7z/zx/j0599H9kmI1l4y8L+nTHuPDoBAPSjEKs0w/lX55i9nJHA2/UKkguEumPCuiQa6ICyt1133jk2OI3NfAPe0P3r7/XQ3x8YfwSpRJIklyit0mivADQuiH0fXArk28KYd7U5gT03CT375cEQR8OhwZ+N4hiB62KRZciqihIIELXTYTYcxhC4Ls7GVETZzMI6L2j0rZKpo/vH6PXGRl/jn1rfSfZ+t75b363v1nfru/Wf0Xptxb9ezzAaHWI4GZGYiEUVr+u7qIsai/M5yoxMRPJNjka16Y7fOTbKdWESwI8DtFJieDDEIIoQ+74CH7XG6akcl0gGMSxmGU/33l7fiHXollfb0vzJ8134cYBkQDPtw+EAsm1R1DXSQtlDrlNcM6ZmaAw/fuedW90cnb0zh1y+dIVG6nSU+evPR7aVat4lO+yBaGieK7hA2AvR2+uZ9mWQhMZHuqk5BvsDWIxBLpSncqBseW0G16eM9vidY5RpQSY/jYCvWBFlRu3+/n7fZKxe4MH1FGjwlq3+8ckYXuApeVBuKn3HcxH3IwRJSChqy8LoeATf92AzBt918OgxmWO0PyPRCdm2phXWti3yuuueAB11SEiJwKMZG7XFSaZ0fIcy3MndA6Btcfn0CvPzGbzAV92Mji+uW63ZOsfVswus1tfGWvQ2S3cKdLPAVA9qnOJ6Dv1/ZqGpG4P0BjpnNoPzUPskW2dGCvXVV+f45V//PwCAsspwcvIuDu+coqkazM8X+PKXn4ExBz/6Vz/GOz+gfdvUxNWO+pGxR9VLSHlDllpICS4FbGbhthAnZpNkbDxMEPWjzlDLdtDr7WGwPySusGqLasxKK6S51ULhd+qqActVFyYIEA1is/8BUi/TDIXmeAzHc9Af90kiNitNpU+GPMraNg4ghVTjPfpemzFTIfFGIBn1MBwe4vz861tePemX3K/fQ5iEhl4I0EiKMQtWQF00L/CUxohEnm+xWl0bClqRb/D8xe8BAIcH93By+i7W6xm2W4a6Lg1i/ag9huO5RI/dFlherdA0pekwDVV1983Xv8ezZ7/B8LND3L37IcaHB0bQRd9P3elbXJOBzWJxeetr10BFz3dxeO8Qcb87SwQXGN8ZY+9ohPnFAqurleHku65/o8L0vBAnd+/j4acPEfgeai5ggQSKbPVM821hVOeSUYL9030EvkejGsfBSPHde4EPTPbx4dkp0rJEWpbYliWZERVVJ6IF6oyk6/Stwdy265iRkhaLAmBGKrqToAWMmJLjjgIfgaK92ozBdxykZWnOBC/wjMCaZkqUeYmyrjEIQ8iWLLeHqurPquqGW61lWd1/2zY8m869QQQc7Y0wf0UYgrsf3sXkr06xXF4YnZQ/tV4b+Itii/V6BsdzkK0zJCqgDKIIM9smuVDFJT28d0DIdwW80SeARulLLjAZ9DGKI7hK3MB3HOM5vB7mKNISYUL82SItjCxmq0QT9GKOjTDwkQSBmY/ogFLzjgJTZiXSFaFk/cADfvLtD353mVmR1sA2szoPUT+E4BKBZaGeb7C4XCBMSHSlKuuOQqfa/9Tm3yNOuFL0kpFvwCPZKkU8ID/ztm0VXcpBPIjUjFiDxEg/mjfcOO9ZloWT906MTrOR7FU+967n3rrtpQVn9O/U71FTNXR9Dsmrhv3AgNIizzPIaoAwFgB5JmyLAnldE2+VEz3HUQeWXRFftqhrRL4HNyBAlODEEd4dXYRJiJP3TnD04NC01qq8MgBKfQDwRiDu97BaXxt64W2WBkRK2cJSQj4AibUYxLjCtmj8g/4a426m+LWu72L6cmoskxcXc/zu7/8W0+lzAMD+5BTMspFtchMYm6bGs2e/xHT6Av+a/Rv6upMJll6E0rAAACAASURBVFdLTM4mSA5GZvZfCwEu6Z9IAYIcyzKe77cFOllKpClMAqUyaZvrYo6N3l5PgRuZUi2jP5n6O4DwJZIL5dLmgDEL0SBG3I9uHMqactiiRT8MkceVutaxea4AHejMsY1ID0B0Wp00CCnNuEP7ZwyHB28VANJ0iSItsHdECY1OfIxropqpM8emz6QO4aOjByYIM8awXF2BNzUevPsxDu8dYDAfYPry2giUAeSfrhXYBBdYLq/g+yHimBQzNa9+fnWJw4P76PX3UNcFzp9/gyQeYnQ4JqGx0DfnlG27WMwvUBbprd/71XRl9mw8SDBQ45yzx2dGn15r9TOHwXV9SMnheQn2Dw/N/QmTEGePTzE5m4BZFskUC46ybrBQY47piynmr+aYn8/o7O+FOHv/jGiysY1CgXq5EAasCgC+cjmsfR9rNydPD+UbYNs0hgnDvgEF32aJhsPxHPRGicHu6NWUNaRszfMKPQ9J4CP2fQRupxzJhUDZNKTDXzawlMIm2haW1RUGddWgqGvYjMC9eV1j5DoYRBGGcWwUaI0ioqBxqK2A0PqTjZPEPPvNbE206W+hMr428DdNhevrZ3jy+8/w4V98iFAd6rHvY+84xul4D1lVoRECNefgUpgA5arDQrYtqqKCO4hxNByaGxR63o2XdS9OMFWyqHEYIPDJn913SeTA15rdKmsMPNfI8Aop0Qj6/YHrwu5TpsjU3Ov6+fTGgfGmS+tyE8K7AyK2UpICG2OIh7GZ15IWtUoOFN0oVwAcLXPsh74JWK7nGrYCbzhs18HwsIeqqLC8WipbWyDod2ZBLKNEwvEcRL3IUKB0J0H7yANAlXcAD61m+KZrdbWkBGcQU3dBbSy+zVEXBOJsxg2aukEVlsjjAHEUoqdQ6Xq5joOac2zKAoJLVIq2qRUX9X0AgKJpICSpvEX9mIJ53vmMR/0QdVkbLwfN/uB1g2ydYj3dYK2so7NViiIjqeC3OfyllMobnYGxm1aaZNeqv4a03DXl0bI6XIC2Hs7XmZk9pquUkrxkiE8+/RkA4Pj+KQncpCVsm2EwGeC/+Df/NWavPsWrL15heUXJzMG9Q0T9CFffXCIeRDjo9+l94BwN5+BSmtm/wxiYZZl38zZLKEEeKamq0V0p3nCsrlbgNaeOW+jBdgjcqiVLdXLclLUxnpFcmDm57TqKqtVJIFuWBdui+aXnOkhrToIpI9p/+jPpn+d4DnzfMzPRsmmwrSrkRadtbtkMcTR4Kw0HIcj2uL/fVxLhGizLlaESvXtBFFBgYwzhIsRg0jfVnOO5OLz/38OygN6e0lF3bKWJIU1A7u+TLLamDTuOg+HevqH86b303g8+wtH8DIITQ0onI/EwJrGvqkaZKSv0usB09vLW1w1QMB7sD4iJwDqLXs2gcn0P+yf7GExIeloXNccPjzEc6lm+MPtQComKNwpg6pBEraKFLy8XePHZC6wWc6LFWQwvfn8Pj37wCHc/vIfDA9Lk8BwJLgREK1FzgUpZEJOIWEG4EBX4K3VfgiC+NaMBgDFWAoDA9+CpM4oLidAjrJhWxaTAHyD2fTCLvgYA8pbsdrM0N74OAO2JAF0nUHKSlC+bxmDTtmWFXgB4jmuwK6ylQO/agJAtuPp8XAF4Q88zBfdmRsqhjNlGA+ZPrdcGfsdxwZsa//iP/w4P/9NjfPL99wFQe64XhhglCbKqwjrPqTWhDx278wdOyxKWzXAyGuGg30fgumgEh2NTxpQr1Ogwok0+T7dYr7dYzzZoZYvJ2QSHw4EBOPmOayouLgTSskRe1yibBrJtb6B7A9/Dwf1DOF4HpLrNEnzH2cyyTPteipYQtcoJLxrERuxCo/m1iBBjDIcPDnHy6A6SEXmXu46NRh2QGuGZrlKsrleIehH2jkaQyoBFCEEVxU7mWRUdMpwxhv64jyD24Tt0CPKCDlltooOyE5V50zW9vEQQdD4BjlJOLLMShZQIogC2TYHXDzz4eYUqrlAPE/OsHMaAqsK2LCEFuZxtpmtMX87gBVRRACSPC8tCUdJe0vetSAtMX0yNct3kbIKzD+4azQcS2FBe4ApdrSvEKq9ISlNKAv3dckkhAVXNUaBSP6MkxD+17FUVzJhimZA7o35WWpFuPduYiixdUhvy3ruPDOhpfGcfzLZgO45xaLv76AT+jz7A9XyF2UsS8AniAO/dP8Wv/uELzF7OMH7cg+/YZPbh+6h36INCIX656ExmbrOaukGmdPIj1e6dnO7D9Vxkm4zkahmJ5uixBy87YCnnwgBCuXLRsxTaPoj9G0qIAJ0ZopVIggDbwEW6TBH2QjMytG1KZBzbJjCgOjwXWYa8rIwsMkDPPl/nWG+mbzXm0VKvuojRP8J2bcU0apCuU0Q9ApYdPTxSTojcHMDFNqeRZOAhW2fEWuL0LPT3ASCZ8ckINeeYnE0w+HwfsfIf0IEV6BxBhRAmUWY2M4Y2+baTbdXmN1oo6zZrcb4goOYwJlaP+vu6rOH6Lnp7Pfr/vRj9MEQ/DHDQ72MQRoaOuy0LzLcprjcbXM9XqMsWgeuh73YOnwCNN9u2xUd//glc38Xv/+Z3+PqLX2O73GC7TLFVHhWDyYAKN0lOf1VeGTfH9XSNdJUajRmiS6q9poS/brvIi6FVLXs1lnU7fQzZtghcF/0wQOj58Gz7j8ZuZdOQIp+ie2qRKsftYqPFLMNuCT0PZVOjqCt4tg3X7lgCQhmRATD3WDMAuBAIPde8o9kmR5ZRoaDHSX9qvTbw62w8y9b46re/wdNvfgwAKO5MMOYcw4gEBCKvy4xkC+RVhcsl/fL5+RyTswkeTCboBx3n01bzXt3CsRmDZ9sIXA8VKmwXG2oFnc9wddSZg4RJaA5dKcjQpFUPSnBBMrrqUNEuZ4l6OW67dhXvJJfgluJn7+iRV0VFXgG2jUQpfAkuASXF6x1QRu8FpHPte0T9kO3NNpTr02H36suXOLh7gKMHR3A9B+k6Q77NTYKglxd4Si0uRBD7sNVDdlTbiD6zMPPn28749Ty+ldJUa/rvHVXlaftPgLJZruwzdwNNKwiJLhqO9XSNV1++wmaxxeG9wxuuVo7rkNVtw5XdZYX5+Rzb5QZVpTLXFyAjGlU1agqdFlLyIx+5wg6QpG+BVgpFc7vd4upFtZSrnn5ZyZTFMlQ+5jC4Kug7rm1oXgAdbNkqQxD7cH0PrqfElPR82u+EYYaTAfzI7ypjxoi/GwcYHo66ewTg4ftneP70AlfLFY73RnAYtbx9xeUHAK6SnRbtrfc+mb7YKNKS2tnqPQiSEPun++jlPXpGRYWyIaU5/TU6oPVGCbzAx3axIf7+Jkc8TEjvf8cpsxECVdOoFiZDPwyx6UXYzsl10HiCeC48xzYHsZASleAoahKu4lXHjScr3Io8NN5izCMlR74tKMj6nknkbEnYDiEEjeJcB1EvpPfbd3H9fGqevdYpIDMqkvdeXi7AbNu07wEKgr0goFHHuI+D+4cotwWyVYqwH5lnrscs+r20bRujI9oXZVbeEOiqqly1lZkRv3rTlW222Cwi9PcHCJLQjLG0dgVA6qEH/T4mvR4GUQSHMVScm8JvW1bIVMLf1KR34jsO9ns9lE2DKxWk/NDHg08e4F/+dz9F4LrYP93Hv/+fG1xePUX7S2mKteOHxxhOBgCzUCmzHG3mtp6tsVmujJEX5zUsiymZ8NtTOcusguuXShQJKFTn1rKI0ROp0ZJjM2L4KCaSzZg5ZzyHEPjaZOv8K6IjB7Gv/Gm6z5Vvc9Scw7UpycjrGhXnCIQwDo2ObUPKruqXbcdaMN0J9Z6sZyus17NvpTK+9s4IwSEtC4zZpNiknPTaFljGG3ghUXG4FHAYXXxeVshWqREsaKoG7z2+T/+vruGp9oTNmAEr6GVZFvohtYqrU3L3ml8sVCCgtk9/3Dcc6LZtO9tMnQk5NqzcMj8PIMGNMLkZON9kWYxmtLq9q2czkgsFQGs67ryyjNQuTvp3Dw9Um1SBk1yHVNeY+r6Ox0+0vcXlEnXZkB5zjzzq67IyDmGtpEw/HsYUAJmFuqjhBh64lKb9BdCcW3J5Axz5pmu4t0/e00WNVrZodmaXXuCpg8UCLNJhF0qkCegkjfVnqPIK28UWi8sFbNfBR//iI4yP90xXZDNdI11nxHFXsqR1RRXn4b0j3HlEVMbV1RKiEajLagd01ynmtW3b+aGHyh/cYpBvoeAlpbJfZeSGpZMUW9KhazGlQS/ItpeqftuY1gAdNsQLSMiDOTaGkyFsh6plTcEJooB03OMIaU5di02Ww2EUCHdBe9uyxNneGIHr4eXlFJuioATcdUmkSh92HAA67YXbrDzdQnLSHaDkT1UolgV3RMImbUsyvUJRtFyfKI6mGlW6DvPzGdbTNYoigx8Hit7XGLrrzN+iEQKh6ypMhSSXTc/BdrE1B5oOOg6zO8qn7mIZLIPaFI6NIA4Qx8O3SviFELi4eILHxWMjmqNXoAB/ZVbC9T1jN753ZwzLsnD5zRX9DM6RDElpbjPfIF3R9Z88uoNk2DMeHQBUZU7J8/h4jGbcYKNo0RpcF/Yio1bYVA2Gh0NEvQhlru1ihZHsLcsMjuu9lYhNVeVKj0BjNJRBThySwmQS4mgwIKyW46Bsamq/c25m8s9nc1w8u0K6ShH3Y4yORwhcSnA8x4Gn9gg5vI5wdzzG+XIJyJac8QTHajU1nZdslWHvzh780FeueQXN9VcZiiJV/1CSQMZcdD69TcK/ul6RlgEn2WctyuMqoaQ2pnNPyBZCSri2rcCKFmqu4g5o3Ce0xkrkY3gwgOO5iq6uQb8k/7wtC9RcwLEZbGaBC4FVnhv9jdgnNT8qkhlkK41SJ2l7cHMepulSKei+/p1/beDXkohCcCwWl7h8Spu6vz+g4Gs3qEVlqpRWEgp79mpuZprf+8vvERgwTWErII9Ulf4fzh9dx0HEPLCINuxqusbLL15i+mKK8ZRmt4cPjjA6GIHZJByk56ydy10309XgI10Z33rtZFRaxU//u0bKd8YZFLB2zYP0aqqGTHTKGkJIyCREi/ZGls6Y1QXotjUzPMGFMeEBaLPoA6BICzQVyRzrg1EDcPT31mV94+/edBG4TpiKXz9jDSgUXMJiHK7VAexqqzbARaBLdqq8wuJyCV5znD0+NSDHUaIQw75r5GyZGh9YloXxyT7ufnBmRgJ1USNbp1hcLtX8s3OSK9IC+SY37el8mxkO99u480kuAIfa+lK0aHUlXXPjjOWHSjkMgOVZSqmv+xl11RhksJZ5huvA93wjUEP32kcUBuiHAUl1SmJt1ELAs23TTROyNZXUneGQ0M1ZDsdmJnjoA8BzHIhamk7QbZZGapOeQjcq0HsxHkTkLz5M6Hnv7L9GJZj0rDJURY3NagnH8dAbJeCq86ODaVVUyEc9TMZD9ILACG15IWF8NuocgWUhGSbkQaC0E/TiXFAComeikMrV03kryV7BG1xff4PLJxc4uHdgPitT3R/ttZBtMoRJcMMdVH+u2asZLp5emOBx/6P7OHp4ZLAc+uukaFFzYfARzGYY7A8wOhxhebkw+I71bI1iS/KvUS+i7lBVGy69FBKZ6nYtFhddO/mW4lVZvgavD0mER0gjZDQ6HOFwOECkVOSEbLHOcxOA0rLE1Yzksr/57TdYnC9w94MzTM4msG2GsiGpWsuyECmG0PBgCMdz8NXVFb78/Bn+7t/+Ak+f/hpNUyEME9Ppm08vSeUvCQyLqixzxVUXaJpO74AxhlYKlFWGt1nLq6UpKneZOrbrENjYJYVIXwHKa84h206XHwAq5b4oVZEwOZtgeDiEbdtIl6kZh7WyRZmVOF+uMIxiA4zmUmBblqYw3k8S9EKlVqkep2xb8jWpSpR1Y4qo7Za0U77Nkvi1gZ8xZixUqzLDxdfUsrj38T2T0eiMX4uYTF9M8eKzFzh5l8QX3r93iqKusMoypbpEgYELASGlafVrEB8cB3bbIvLI9znsRSgvl3j1FYFVFpdL3HnnGIODIdFpHNuIppiZtloa7FZm5Y0q9E2Xrmp0a/IP52XcWA5b5h89HmnVQ1vPSEWJMYa6ahBEAQGfQEjl3YAuhES+LUg9SiUrTdIYfXeAQFOWzQw1BKDZo2EgCGHEjrjaELsI/dtcO+n8MzNTB2CqewLnMeoqpCWNX9ShuBso6qLGarrC9MUU8SBGU3PMXk7J0lK3cVUiI6VEukxRbHOyxBQSz373HAvVPSKJUqInBnGAUIGfWpUoZasU2xUFiu12gboqwGznj57bmyzeCHiOba73D0cllqLyOQ51g7SngXZsA2DAi01Vd6pvbYe30EFazxPbllr8jJGNcsNIglfP9aqGKux1nsNzbIyTBNssxyYr4DAbgev+ySrntlWvbpuSrahvZseiEV31a1nGk971PcU8EajLzsFTNBxlWkDwBncenOHk3VOk65SU7na8y6WgRDnrRQg9D0VdgzEGP/DMHi99UvwTnujeMdXxq4uanOR0gsTbnbPr9u891Hjz2VdfGf119dcGvMdsRlr2yh68qRvy7FB7ev+kA/OOjvfQ68douMB6RrK9uiCTGpgsJNC2hu4Z9yMkwwSn758BUOqOSvzJcR1Atsi3hXI1pDNou6YkIcvII96xHSNo9aYrjodwAzVOUSJaADBKYkRKeK3ipCxXc468rpCqsdyL3xNL5dWXr3D6+AyPP3mESb+HRUqCNNebDRybdZ0aUIJ0/tU5fvsff4vf/vqvUVU5+v0xHNs1AZ1MegTqOoHj+Mb4rGkqNE0NKbtEUO91C5aZi99m6XGlfof1PiW2lI2mapBbFiLPQyMENmWpRm2uua6iJlntIi2QbTIjZy+Uuq1OZi3LQqVYcXlZ4XhvSN30LDPS3QBQNw3GvDF4Akcx2XzXNRg5vfTndWwX4jXt/m8dguhZQcNrTK8p+K6vV6h7EYE0GLU767LGdpni8sklFldzfPCTDwAQuG+2Idpfq6xsu2xXmqpXmxoEig+el9Qe9nya/Wgzm82CpD+3yxTDgyHifmSsQfXN1BcvVCWu2/Vvu/Rn1NuINxQIWqWmRe0l4vV3iGj66uXVCtmK5DeTYWJUtqQGyDkd19t2bOoMKNS87li0su1wC6o9BMAAikgznJs5oP68ddWgTAuTCNxmxcMYTdkoMEp3D1rZdgwBda+1b7vgUnVG9NdKZOsc05fXkEJgcjaBaAR+9X//CucvnpnKcjI5w8HZIYI4ILrQbIMyL5FlK1xePjXo3P39U9x/5zEcz8X05TUc1zPaCU3NkadbbDcLADDgJin4W7X8tFUqUTOZUZoz9FSVZLZCArUFXnOi+QycG4CyuqjR1I3SXeBEx5SSkgat5xBTtW9bhBj2I5Jfjn0frpLyBBQ3n1M10AiB/V4Pe/0eFpstSjUn16vi1AIUb3H45fna/LtlWbBK7XzGjEdGUzUIeyGifgQv4Ob+6K5YXdYo0hLbZQpmO0iG5EtfZSUFLDW6KtMCxahHtt97DbZKcprZlOTlaiRQ5RWCpDFy2LuJmODihj67ZdFB/bbgLs5rcF7j6uobSPETk5xblmsSDsaIYptvcuqKlTVyheMB6P05uHcIL6SWe54RUHU929BnUy1kP/Lh2g7alsOPA0Q9GiXwRiBMPBOASNaaunf5tjCdNH1/qMpTIy3VcZStvLVC24/+m58QMryhAkKfNbmmnWlWiyRE+mZGWKzzJ+e4+JoskMsyw72P7qvuLn22sqrRqIIhW9F7f/nNJV78/jmuXlzgyZN/wGp1jSQZwXFchFHfGG7VVaE8EyQBjhkDeXHIbgyruz1sJ9F/i72v9zZ16G5ie1zPge2SyujGdQyVXAdonWhUvAFXI4nF+cKMQRcLcs2z1FOJ4j4OL+9ju0yxuJhj8/AY81dzTF9O8e6fvYvJCWFBtmWJRkpMej3EvpJm11LdCsSrR2zODqbjdQn/t7b69Q8QosF0+gIAcP18iuHBgABLPvluF9sC8/MZ5pczOI5r7DlfXk6xvFgYoIalgDLayEUHJT2fDZMQkguUOY0MhJCIeqGpCi1mYT1b4fLZKxTbHKOjPVP52w4D2I4dq+egbaniaqrbtzz1Ia99xc3h1nSuUboStmMbgksz59fmGleXTyFbie3qAfYOx2CMque6ahD3Y+N/MJgMFHWwNRLBhVvAtum6GDrLzd3NqP8UXEAAYMpHHaDsVRuNaKGfN117R3uYv5rB8VzzctHvJ0tei1lG0lj/fp2A7CZei4sFVqtrvPfJ9/D+j95Hvs3xy3+3wFdf/b1Bnz558ivsf32K8fgOLFgQUsC2HWTZGnm+MehUstqUGN8ZoEgLzK7Psdl0WvWc1yZJ4LxR4CYblvUWVE4uIF0lSsO6A8T1deBX91xx1ZuqIUEn2RoPdV434JwSM90NcFwHnu/CU6Y+AJm35JscfkRyrhYjbf98k+HoeB/jhND/zLKwskirnwuBeZqiF5COAlFjG9ParRqO5k90Kt5k6SBi2DNcC44QA0Obj7CCwVOy3UbrQrsWqhb0drmB63iq0zNDtsmUEQ0FqXgQG1wHmdIQT7y3R1gCndDn2wKu7xm61e51tVKaJFQ/G4AcGt9mzJPnGzrDyozeYy0iJHaAboqapZk+TLX7dYJu3EMlecjPXs7w8ouXGOwPEPXCjtKrpbBtG1EvAq85llcrbGYbTM4mhgood0ZuUkojfqO7rnVZG5ObhteGXnnbyJ8MSRBtcT5XyRslFttNhqKkzoLuJBbbAtfPr/Hy85dYXM6w2VJnjjEbF1+f4xd/8xsCMrYtGbsJiTIvjc30q6/OcX35HNfXz7FaXRsGTV1XcF0fYUhjhlm6gpACvKlQ14XxgbCZDWFx2Mw2ngyEESDr3ra9Pb6D10QPbpTjqe7cSjVCbpVoUqaKsl5A7x4J7CgadUPPqBUS6WaNNF1ju53j8vIJ0nRlAJdR2ENZZmjqCqIRsGyG5eUSlkWjlSPlDLjIMsy2G7g7ib2r6bOyhdh5H0yVb1nGIfZPrTeGPUopsdkQuG95tTTqZY4yWMk3OWbnMzRNhfHRvsnon/7jU6yuV1hdr2Ar0I0GjBCAi7K/dLNGXVGyEIQJ4n6CMAmIqpaE5gFoRbD59TXm19ekVT9MDGKY2awDeAU+3MA1JhpvtXR3QkoIbt34a9HQDJwxBhEIBYgigxmdgdqOiyrfYrtdqABFeIn1egrPDXB2RZ2Rh9972Lm6SUIlO54DYdOGM8AlRoeJnp8LThtMI4//UBxFJ1i6wnjTxZXioNag1tfTWq1xpTN0ExUARcNNlwUg0N7V1Tfo98e4+/guVTe+i7uPH+Dp018bninnNa6vnqEothgOD432fllm8LzAKFBZFsNydo39033s3xljPr3AcnllzGCk5AYQREsCsNG2b/fspZTG/KirInaUuzglok0jaCSiAqVuB0tBLWdbIfnJu16iKiqspmvjqFWoqk1TAgF06oAAzhSt6b3vP0ISBOBCGJXKyPNI+KauwUVnzFM3XQJ220UHqwvH8eE4jhFC4U0NxmyjmAhQJdpK6ijrPwFKtrWpSgsa4TiujdX1Gq9efWHGCb3eHlr5AVrZ4urZFc6fvsBmM8PdB+/j/R937p91WSNdbRGKyIBL9ftiBLF2tAHatqUu3FuY9FDQkFitrnD9fIr+mILv7mjG9d3OJdCmZxwmoXnPdHLcqqB3+c0VmG3j8MERol6EVGFR/MAzvHdN9zp+eITr59cGKAhQwVRl5Q0fCIASjramLuOuZj4lbfLWwe+zn3+Gk3dPFPCsMTQ5IQQcx6FEtqiNaM7ifI7F5QzbdLmDqXHw7KuvcPniHFGU0Mgj8mHZDOW2wPKaEv7p9Dlms5fmbNQBHW0LtC32D48BUCKWZxsIxiCrDII3iJMhXM+HxWw0TaeE6Lk+Gst6K4MegKzE3caF03SFDKC6vK2+57rY6LBcNmM3KH1RSNoqnheiaa5gWQyD/gSD/sQwTZqGKMd1UyIZJbjz8Bj3P7qPMA7ww/v3zVz/2WyKq/UGiywz5wOB6rv3XSdoRZGC8/pbO9zfafV/t75b363v1nfru/Wf0XqjdJhavcKgLKUCtYlGwMorZJscxSZHUWzheQG141TrocxKzF7O8OzpZ2ilQNIbIQx6kK1Aul1iNn8FgKo+1w0QhglGAPp7AwwPR0Tfc20zO8RORbtdbrBZzlFkKXrpEIPJAGESQHqdZK0buMrPvkN+vunyApcy7LpBKzucQNuS7CLnHEwyuD7Z8fKGwwu9G5m/lKSzrqkoggsEUYw7p++gygvTybh+fm2c+cIkUFV/bQQf9LjKYoDtOJCC1NCkarEDnWSsHkloTYNWSqMW9abr6ukVeMPRtj68G7fdMm1ux3UMGrkuFKVOduOP2ewCQjR47/sf4vD+gbofEh/++QcIogDPf/cMAPDs2e9xefE1smxNVCTHg207cF2yVvXcQN136jpdP79Gf9yH6/pomgpVlcOyFKVOz3nBwBTn+21seS2b2vZSKne9neJZd2B01wcAbNVWu0FrFEJRP6Vpm5ZpgevnU8x2lNVc1wfnDXq9EWzbhRf4mJxNyOlyucGLL+k+Pf/dc3z4Fx9isE8VqG4X98LQiPWUTUdddFz7xpz2TRe1iamCdJ0hfI8qj6ouwDnpozOHoVV6BLtdnl10P3XjyHEzW6WwXQeLxSWWyyvTxWlbEmUpUnoXxocH6A9HBhinJWPTZYp8mysXS8cwOgAaybmKFQIQsFADLt+m4geo6k+3Szz58tf4KPkR/aWib+p2L2lzuMrTwbpRZWk6mOQCi8sl8m2OMAkN20m/I1VRoekRUI5UKktYFhAPE9on6izr7/U6bBTvRg62w5A3HLzhyFKqpBmz/4jn/abr4O6B2jdAkVeYX1D73l8TPbapGkNnTJdbbFdbZPla+b/Ta3O9NAAAIABJREFUPnMdYmTk2Rrn519CfiExGEzU/N4xnd2iSJHnW7RtiyCI4fsRXNeH6/nggiiLAFAX9/Hq5ZfgCqne8BpCCMRxH4zVqsLt4oN9y7NudwnJDZ6glS0aJX2rcUvMYWYk0baEvdJ0W119kwy1jeHhCJ/8l59gu3iApmqQLrfYzDZYLqnTl6Ur+EGMkwd3cf/j+3j08BTDKIan3P20ENrd8T4C1zNCecyyblhtN5ybip9sjSWkFK999t/yVnT+3m3bGo9lL/SMv7BoBEmSbleoqhxBkMC22Q3wSlPVJEO7vFJ+6kuDyoxjerGjaIDBYB/DyQiDyWBH3lbPznasTtVLF/YiLC/Jf3g5J6T4YL+Pvqb2qblJf9yHuKVsKdDhDxzPNcIrgA6oFFQ0lQ+M2up6DrnrI+6FhAjNN4p+p1q6JAnbCTCESYB4kBBNp9IHuGfsXwEo3jhX4EJJrX7ZwnYduL5rfN8BJfqhcA63Ve57+vnvMTk6Ix6zQvcDQMsJ5c5sy9DuWtnCUiMWISQWVwSwK4oNTk/fx9GDQ5MsMMYQDWJ88JMP8OiHZLd7/tUH+NW//wW+/PIXyJWXNNsRH2E3NnmN+ZRARLbtwLFdlJy02Xc3usUYpBRwXR/7+6e3unYAxt+gFRJwSQtC/1w969Pocq3eB/X1WjOhKirUZWcrvZlvcPH8OYoiRb8/xuMffQQAePDxfViM4ZOPHoELAc9x8C/eew+fX1zgH58/x3/4X/8TAOCzv/s1lldLfPzTj3H04BCObLHMMjhK1c5zHGPxCQDNt1B6/qmlcRZlmSGO+wiieOeecoUiJ1ErAAZRv2u+o2V9gzhQfP455vOXyLIVBoMJRqMjAMD44NAAVkdHIyTDGHXVIOpFSEZJl0Ab+1tC0BMFtAO87i6tB2Db9lsD/EgnoMH5+dd48M7HABTFVTMcFPVO701D//Ju3vMiLbC4mCNMQrRtixefvcBQMZIASrLWfkrqhkqDI12mSJdbc5gDdOaFyhirbTtVUYsxCCFR5gW2CgwnBYfjepBS3Lrl/eFffAjecFLMzEtspoTNWlws1M+WpugosxxFuUWeb9E0JVxHS6gLjEeHcH0PebFFlq2xmJ8rW2fXJAhZRj87DBN4XqhEdzxj+GMYFI4Nx/XBlJodBTau3j1bPe/uGizrjynVb7qYer9dZY5m8EoKRO0WLmqfxrCO6ygslgNv54zS54PrOaRBomixWnhIywtr6/HDe4d4950zHA2GynCKmDyNOvNDz8PhYACbWdgUpaIQ7mBcFF0YUKDmVv5RIvqH643SYcPL3pmfDg9HFHRXGbJsi7JMYcGC7/vwd2gtfujj4N4hgiREuryDMisNr3y3EiE3sNgg9QNVNXt/AErTinWe7xqgG5szpJs1NpsZmroytJ7BhGbTtm2bQH2bxWveUbNsewe5bCtlJ4WqFBKSKwldm2aN+p75kY+oF5KkaSOUz7kLwTmkaM1hGSYhcZcFBVZUDeqCzH5s1+lEYYSEpQ9B9adWg7IsEpu5qTfADPXsNuvFy88QxQP0laysXszpqmr6DAKcc+Nclm1yAzIa9Cd48MkDuL6HIi3I2GTHS0Cv/ZN9fPqXP0RTV3jy9B8BkFw0vdS2SQD0Rq6qHOlmDdu2Md6/g9VqCilFh2reWb3eHv7V//Df3uraARhzFiEkGBeAZl9AGhllLZlMs3l6TrwRJmlrajosGGPYzDd48vnvkKYL/ODHf4kf/+t/jpMz6oJ8cOcEL+ZznO6NsM4L/NVf/wpZVaEXhkiCAJ/+7FMABAT7+f/1V6j+zxI//Jd/hv3TfbRtS1rdig7bC+i9qzlHI+hw3DW4eqNl6RkmR11X8FTF77oumgZomgbI0bE4BGEhXM8xlVFdUIIb92Mj8+q8ctAr9shVbJ+qub2jEYq0RL4ldLzre0hGPfXzdlz8It/ohEguIWwJ1+8OW62jYS7BsuB4Dvb2jm937ep7dYDJ8zWyDVXpgZLo1swCXjdGx0B3PToPAqrC19cr1FWDowfHEJzj6a+/wde//Bq9Mb1XZUYuc5o6fP18isXFAl7oIYgD5AorFcS+Ais7CmjswPLIGVIjxjUKXoOSacZ/u+C3vzcAlxLFNsd6ujLdq/VsRUFQFYA2c9DwGnm+RVFs1D7TKoMMp++dYbA/QLbdKNZNhaouVGBSnVMp4DgubNs131tVBeq6xHo9w2ZNIMC6qVAW5G8Rx0NFd23+6BzR10x/fjuX/Z9aGrxpu7Z5d7gG96lii9fc3PumbpArhD8AsLYlYK0hF7SGyWHkhwFMhgMk6n2NfR+h58J3XDg2gwXL+NhYlgVmAaHnE1NH0eClSm4oWYG697bp+DjOW4P7bgLFNCghXacmABPqlyhtUdRH2I+U0IUCW4SqAvZc9EYJ0a7WOfJtbqhwAL3YcT9G1Ccd6zAJ4QauoeLpm6WtEZuqgRf48IMaQUQ3L9tuUJRbSE5IedfrMsS3UfCavpjCsqilqmmBAG0qDXqxVKXZ1OTCxBiDxdpO5tO1jfSlo9SfwiQ0mv66XasDt2hIHKYpaVNpgJ1p80kJqyWzEv07NMWKkgbZIfB3XvrbAr2WyyusVteY3DkCUMMFJWA6UaFDX7uBddWe2FFRPDw7Ja3yTaa6AepalEmJvva6rOF4Ds7efYjV+hrL5RXaVoIxG47TmWYwRi8E5zXW6yl8P4LnBTg+fgdtK7DdLJDlWsGLgJf94R4++ejRra4dgOFTM2aZrgYAaKyUZdFe1O+A3EH4d9Qi+ve6rHH54iWWy0uMRkc4uHeAKq/wv/yP/zsA4H+ab7CcXyEIYqTpCldX3yAIIkTRAFJwHN+hz3/y7glc18dvf/sfkecbfPrTf4ajh0dwHBvHkzECzwMUr7fmHA6zUYvGdJXedLmuh7YlNkhZpqYtH8c9OA45BzZNYxDeem/tGmFpJokfqa6dbSMaxMi3OSSXRlt8dDhCVVS4fn5NSPk4QDyMjZHNrmpgkISwGPHn67I2Vb35vbrTJ4QZQ7yNSc/uWZHnW1NJjyTJ8LZK0dKvGliMGUfNpuoST629sV2lxhbccX3c/eAuZi9nJqBfPbvCaroywLnps2tI2WIwIZlvLUi1XWzh+ore17ZG/bEuycFwsbi4Aa6jw//2515a0bghVaBrXXhZFkPTqFGv4BCMo65LFEWKpqnhup4JtP3+GGePz7B3RM/2dz8HlosLOK6HokgNjZfZDlzbQdNUyPMNpBTgnJ4rcfQr87uTZATbcWEzG54fwgK19G+CebtF5+HtAX6UMFASZ5gZAFxF39ZFJeccTdmABw0klyir2phE+b5HFXtNHXGifgow2LBdZrwKNBVQ7LCmyHBOjRW0Nkvbkj8FY8rrRgG+QRNI33FuFLZGV+Y1I85vrfh30dtSPdjV6gqO6yCIA5pzeSFs28VoPDGUFE3n00Hf9V0wh8EXxHkPYh9CtY0BOiT1z7upd35Tya4uiLuabzK6sSrDJrpaH9m20y3WnvG8vqn09abr//0//jfIljYh2tZQRmzlS3509BC+7xsHplZV+vqgAzpDCt2qdz1X6X0rK1PVQnaUEhRcFcj70mxeIdiNqq012uidcZD2K9AjAHpeLWC3pjK7zWoapXWuDjOLKQS1R3N9qX6m67sGrd8ojfdIjW/CJESu6Fu2a8MPPcO3Jk5sV8m3UuLw3iHq8of4zS//xnDJ3R27S8ui+yqEQF2XEKJB27Y4PD2hxOM5jGKXEByyFejv9TBWvt63WbqKZyrB0ufnLsOBgj/hT1q7NQqEegnOjWPg9fU3qKoCg8E+vvi7L/HLv/o7VOoA9P0IUUhz+9P77+BH/9VPDZd/sN/H1TOaCf7+//sNFotzFMUGy+WVYR24gUfGHoyBq31nKxcxxhj4LUVsmqYGYw4sCDRNbdgXQRDTPmxbyFagaSxYFYOrkk4t8wooepvrqHEQdvwz6N7FShGuP+4bN0rbtRH2whsjA92pamVrWrCN66CpS4hGmHmreSCgs6SuObJVirnCEN1mEV7ENlTGraKpCf6gGyu0ZMusdUlEQ5r8u12HfJOhLmqMDkZm/OP6Lg7uHpjAv56tiZvf5BBcmG6pF1DCqwuofFMg7BWKFcUUd70lWl2RYr2edtWumvG+zdouUzz/3XNcPLlAb69nWBXJMIFcCBO0hWhQ5BtwXhtWjW7194ZqlGFZuPvBXcJm/EOJzWYO3w9NMtY0FYpia4I9QBU/sSo6GmkY9mjkFMRo0aKuCgr+lm3a+rurbSXQSjOavs1qW8JrSXOWd1V8q5T4bIXq1wWuUJ4ouitbOSTn3AppxqF633AAlhphbN3S+GwAQF7VRtkWgNHl4EKgVu/yrlAcYwyQyqrX6VhdRszoNZLNrw38u0Ef6AQKrq6+Qan84pNhrLSiOaJ+CMYsNGVt5hiu50JG0gQ4KVtqfw/IUlYrc+lgVRXVDZU9aqs0hrpTbHPUVYN8nVMwVYEvHpJ/suM46CtAkOs5xgHqbVr9l1dPjXKhnufq+1LXBUbDQ7iuB6l+Rysl3MAzbUYApMIXuAaU5IUefY3aEHo1Va1AQ1S4eIEP3pCbGywO2/bM77ZsMo+hRAPmwLMsJdwhuu6AlLi1Tj8ANHWJzXqK7WqFwXjPXI9Qn5t+pQVtX+u4NGvzQg+Dfbr/bdti9mqOxTW14nuDEYIoIBqoUlXUn1Nwch3rj/s4OXmEV6++Mhtde0tz3kl06i6ObdP3eKGH2avpjWtgzMHkbIL93u0Dv674zc+ytSc9U/eHK5tV5TnvkEf7YH9gklES7KFEZf/ZKYoixeXlUwyHBzi8c4pPf/Z9AMDR/UPcPz7E2XgPd4YjXG82qIWA7zh4tVzg74dfAiARG9t28eDBp3j/R+/h3T97j8CrrovQ8+A6Dhpdfe8cErumIG+6GCNNDF39ANRFcRwbtuNCcLKrbiri+2tBI32AuzsBUatA2g4DszvsDwAFZJVUNQuS33Y9KhLkTsIqWxL7Eoq6upuMaR4/dgKA4ALz+SUWi8tbXztRw7pOmwZiVtnHCPvRzjlAXy+5NMBd2+kCvz7beN3g/2/vzZYsOdIzsS/cYz977lmZtQMo7I3e2WxKXDQcSjLakGYzNkZdaB5GryC9gC5oM5ormmQkRYmkNN3kdFNoNNANoAsFVAGoyqqs3M8au7vHXPzuHnEKaKAyeSXr/M1oXSxknTwnToT/27ek8wyMObZrNz4N/dW+VRc1eKa4F1nBJ3OdjA2tpx3zTFFQJDmOj/dQlrnFM5j33Ra2ed4I4gDdURdrO6uA41gTriAOEGQhqqqgokJKQOtkMObCdT24JqGXFQ4+fYoyL3H8+ARH+09wdnaAqiqWcgppRXBEUY9AfV6A8fjAAnw9bbve6QzR769ia+sGiiLDeHyIIIjhuh5pe8jmLK1rhaoqNe///AZNhqYntGZCW2/BCJc5GkDIGK1Q01lChla6SCVQKTUMpiDwQzP5BspC051nCwgpcWU0sp286f7bWB2pFEopUQlhgYOqbopc2QJvG5+AWlMif1187YnQTnjmIRyPDzE7nVkQHnM5oVX1RTMeyQBwtn9KCdnj1l0q7ISN0Y5N+CWKJLdqc5XmpjoOVYFhSDf1YjHDycljHB09RF3X6HVHWFvfxZrahRd4GtlPVWoD9GxGtecJISrULRc9U0U7DkOSTJGkU/RHq4ToL4V1jTN+8wDhBAbrfSv5yM0+WCeE5rVpx1frHb3hJRteuAFSOY42InIM3bUGAyGNRSU0gt98X47ePeLcn79GjTSbYzY7RRh3WmsFZv9c1zUgtJubtiANosA+IFUpMD09w8OHH2KxGFsQD9Bwpc2flVLwvQBB2IEQpRXukbJCqsf3ZZnbg4MxF4EfYv2VH2Btdw3jgzMURWaLBKUEGHORJzn+vwef4o+/+c1zfX7X43A4CdMINIc8jWy59TEwB6x5RvzIt2jcvKwwPhijt9LD9//ov8K1B7cxHy8IzzLoWPDW4cMjzMcLPOg/hR/6dg0mK2nBoABw6xu3sHtnF2EnJCBcHGE2W1g76sB1schbuuXPFO7PGzRJkdT1t/49yRc3n1UqAQhAKU+rWRa2Q+eckpkB4pL8M7ej+bYglx/6GK4PiUHh0/qEuwyCyUY1U6+xyECm1OdS00ww7rQKYAdFVmA6ObLJ46KhlMRYFw+TyTGCzlVrTFWkhT3blKT7wGgvSEGCRF7oYT5Z2OsQxIH97Oa9eoGnGSCKkr/nkjKfFn4CGrEwKSI7jgZIGfTw8HNIKax1trkOnJ3/zPMDz8oNjw/HOJw3JmJKGwER+JYjCCIr3uD7gX32jg/2cHK0j+nkCEWZoa4VMXS4t9SFV1WJKOrSJIlxBGEHnudjPh9DKUmvDyCK+lhZuYJb37iNo0dHmEyowBeiQlnmUFKAawaPUgpSCoiqhLiAOZcQFXx/Wf4XgE2iDmc0tXQZaSioGnlSYHo8teeiWWvWUlk7XuMQK6vG9yRPcqCucbA2sJ4IhjXQiyMMY8p5oefZgqATkP26qskkSCgFoaRdazyvTPFz0/nof+lF8zzB4cNDrGyNwOKARr3aTSuZJpiejHF6Rrr+8/mZHQ8NhxsYjbYQRV0wRg9/e3cdRAGUlHAYw2hzhGyRYf3qOlF9zM99RiOOKOoijgfY2XkBK5vrKDPaEw/WBk1XZg8IB/wCo34DjiF0bBs4pKwrlNnh1HWNKi8xOZqQMl/ZSGn2BkOMNofk5iUEugNSx2p7t3POIBwH6TSFFNQpOnosLkXz+5suubb7ZwBLO1ELKjGrAiFxXq8C2ukVSNM50sW8uSbai55+xtFiFrBATYc5iAeEAp8eT1FVJXUidY0kneLk5LEd5zUjc11UOMZshlD9QdiB7wdw9UMdBDHCsKN3zwlWVrbw8vdfsfdemk5br8Xhuh7u/fwuDj8/wh//+fkSv7nWQglASKgWvsNcA7v31w9lntC+dRDRA1tWme16OWfYuL6JqBeTChhnSPVUzKisFVmBWtLUyMg0D9YHtmM3I94oDBD7vlUMq6SAUBJCSRRmOmIOgguI+AhRgXPXrlZMwVtWObhr0PQ+IBy74hJlBdkejXKJurVi6ww6dkzaXt2ZicRoa0ROm3pEbwRf0AKlmufArLSc1vqLcWbvcSkl8kWGoswQhhdY8zCGujaunAKJXjvt7z/A+tYOgihAkRXIFjncwENde5rdg9Z7UEjnKVhCwGPXDWziN2BHgFZHnu9ClC6UdnwUpUAyTZAvskY9tKLn2EzvqlJASYmn+/etAiZaieoiznwAkExT++95i8lkGgjSxtdGSn6owX6N+ioATKZHWMzHyIsE3e4Ivd4qhsN19PtrS/mAuvqQpgWuj7rWNLpa2fUB/Z4AvWGPpsFCIo77qGuFLJtZ0SLz3Jv1AVFPz9/x17pwsIJkVXPWcY9bR1TGaFfvtnBK5rsJ4gDQZ7lxYQwOAjCX1AANPmw+mUBKieHqKq68cEUrgJZ6mu5h+xYxXzZvbKE76GAQx4QJ0OP9Wn/fpXaLNSFEZfEvvy6eO/G3b6SyzPH0yWe4ld+ye7fuiFCqk6Mpom4HN0Yv0/9/eobPPvslzs6eIo572Lq6i95KD7IS6K30rVOR44C03HW3O9wYYHY6w8r2Kg4fHuLkMakGMubA9yPcvPkN7N6+jo1rGxAlmQNxz7VuaAA9fHQ4V5DV+TsfooS0JHKtxzlQKInFYqwpjB1IUWE2O0FRpEiSiQWd+F6I8biLk6MeHdJViTDsYLiyhpUrK1YVzNB9qqKyjnuMM+vd3j78jVKYuQEBwGESjnAg6mbXJLX6XrvKfN5wHKYr6gxlmYFnzaqEJGcDq+AHGFdEoj6ajmawPkBn8Bre6nwbQRRgPl5g794eDp+STn8c9fTrRahrBSEEkmSCJJnq9YqC54V2J0hua9JSVuKoh7gXY3w4wenTU5RF1v4A4NxDkkyWtOefN5JpqsGVwuoV0MsSVYfGqNoXQU9nyrxAnhRIe6W9/vbtcMI1RN3IcoQN+n8xXSCSEaqcHli/FLa4Sudpo77YCeEHHoF59EMdRAGY40BI0k6XrckOc5wLJQCSPK00OCxqEn+Zw/dCu6e3r80ap0xf3w8G9cw4YXfMrj+ZkeWswQA5zEHQCdHpdyCNiU2SIx50MNoYYuUKAeq6wy4lmUroqZhALV04+uAlE5RGXnV8OMFiMf5SpsfXRcMiUVDKsd31wcGnuD15C1F3g6S3KwJ4md/fZs+YBD4eHyJNp8iyBZLFBP3+GrparwEAgiBCpzOgLlVLThv5acZc9LojAIDrkRskmIMqr1DmJdJ5iqcHn0JUJdzWZOMiUx4TSkow3dWbyQtA35MXePBK3/LwGXfhB6SlX6O205XhYAObmzfh+wEGKyNceWEHqzur6K/2sX9/H/fevgcAmE8nFtBXVQUWczpPjVyvuUZUFFAj4fkuVjc2cXp0iCxb4FkTJjqvcghRXhjVD9D9WxbVUnHpOA5KUdKZ4NIEK+qGqApqOq2hVJJjejzD8T5pVghRgjkMnh+i11vBaI3u6asvXofre+gMO9h5cQd9rc8xP53j5MmJNfOZHk/BXI6rL1+FukEW5aNuF6quUVYVmSVpzEhV5hbZ/1XP/nPT+QjVrh8yJfD06QNMj76NwcaQdk+hj86ga8ca3SF1fS8PXsH1Bzfx3k9/CsYYtm5sYvfOLqRQS3QVJSQG2rveIOAXkwTpNFnSAvcjH1d2b2H71ha2b1+B63K7dqADofGQFmWFWtUQJSwa8zxhQCb0+ZUdozCHac/oI+R5gijqIMvnGI9JYrPTGdp9m+cFCALCM5gpgFKS5GZPjxGGdJ06/a4G04R2BVIJ0lo3AElAe463Rpp2zMgaLX2TcIx4i6GdnCd8L0ClpR/rusZ8Tjzequqg0+mBcU6WvA5RmKQsIUoGXzb8WT/0MdockgVtN8L61XUCNs1ehqikTWiuTweMFNT1zk5mmJ/N8fizTzGfny3prVdVAc/zUVUFknSGh796iKqocHq6j7Iq7EHvOA5cl1C5FxHwefD+xxiuriLuxyRWpN+reRZE2ewVHeZAldTxz05ndn/LmNY4cOieNkAf2stJW/Sa/S3jzCaSuB8hiEMEkW8LqSAr0R12Ebi00/ddF50gsCN9IZXl/gKAUGQGxM4p0FlVhUZNG8516/qL0moZkFFK0+2VebF02BRZAT8g3450mqLIaCKyWEwaIFpNAF/P9SGVwMnJY0wmR/D9CCsrW9jeJkbDlReuYGVrBVVJKGpKSq51RVRSLd33R4+OMBkfIssb3/vnDQPuY8wFYw1LZj4/w2efv4/u8IdgjBg4loqnv1sDLHZ9bkffu7svoarI64SAbA1uIs/mODl5bBPueHwAISqMRpsYDjeRap/5YbBOOCUtkFVmJZ4++RQnJ4/BuWfPKABLeKDzRqTB2bIS9rkFACVOaF3hR1bghqjSod2rm8lcr7eK22/dxnB9iDzNUWYlxgdnSKeJdTMFACEKzRAh6VpVS0RxD0EQg7GW46hSWExmGKyNEA46tmA23X77nhOioqQvqgtNu0jAhzBrbS2AXK+hAcKOeb6HKq/AVjm6ox56Kz079ZwcTXB2eKp1MAaI4z5Wt1cx2lrBxrUN9DRFOu5FhPngDCvdLvpRiMD1IK8piG9IFPp+/vzwCJ+//zmO944RRAF6UYQRqLDPqgqqru1qvSgyuw79qnPvUrL3Mi7jMi7jMi7jNyi+FtVvOt42TaCua5ye7uPzjz7Fa8M3kSc5AkHIRe65gEPoVYBQu9devY66rnH06BiLaYJ0nmFlawQ/9C3AqcgKpNPUSpvWdW335X7LECPsRhhu0M5cCmX3IZ1hF2VWUjWcf3HUepGO39AXwb74bznjKIoUZ2f7dhcVxz1w7qLfX0WnR2Mbo8gHYMnUQRSE9M0STes5O0M6TxDGkRXvMIBAr6VSprRvN5xGmpKQ9dRRlkXDgKiKCpW+Hlby+DmDDDAYPI9oZdMJUcrysAOlUbQy9OE4bTU7orR5mvs72hxalGxVVBZzUNc0SjO7rqogoZxsnlkQk6FgOmjRU+ykg0R9pKhw8uTY7vWMmhcAeFbmt8YFGn58+OE/4OU730fcv7X09+Z5MNiMsqi0bK1AkdG6w5pERb7GWCirYcBcRh7yumszwRijDqDvgrsu+mt9RN3IigQBpB7ohyTW4zIGoYU8Ao86vkoIlLLpwIXGd5zXoMp1fZRlZlHYjDXTDiWFvs4GqMotgtlxmN1zEmMnw/j00DJjpJTa8rayY2Hz38oys+ItYdhBHA/Q6Qzte0omCTw9Tq1KoaWtoyVzKgOozRYZxmdPUaO+UNeL1v1mJjQA7bc/++wXGA43sHP1Nox+B0DAWq/NntD4G98PEXYj9IM+VrdWMTudYTo9sd1oHPUgZIU0mSJJZ+Dcw9raLlZXd+Byz3a13HMJB6SdO4uswOHhQ1RVAc7cJSc2pd0t22f280ZVVI3VuOc2Al6Og6rQgmLcg+MIC2plzIXnwU7mOv2YVrCV0NOeBLPTGapSwA992xm3pWVd14Pn+XrKQveElXVWEkJWVhMiX9D+XlQlGDfKfc19L6VAJcovrAGeJ0o9KnccjqqILBajzGnSZey3Gefor/bhOA56/Q56o65lQACw6ozN9I9ZGmD7uef6fk77GeJuhMDzsNKhfb7BCq31erixuYHPnx42OgJSas6/gJASs2Pq+Nvgya+yI//KxP/sbt+E4zjI8wSffPIzbF3dQdQNsRgvEPcimwTMuL2uaX999eWrCLsRRCnw9ME+xgdnkEJZh7J0nmK4PtSJzgd3Ge3+Bh1wl5MmNijxkwCOQlUUVorXcRzrTW/C3JiO48C5gCe9o0Uwnr2BalBCqqoCJyf7CIMOBsMNdLsji7idTwlwI8pOo/OsZW0K3Ae1AAAgAElEQVS9kBJ52IsArDTvVxDvM5unGD89Q9SPLTXOFDHPgvrM5xSVsOAoM9Yv0sK67J33AAjDDhyHWxDlfnEfAJDlC6LT1RJxPABjHFIKssnkDEVWwHUbCowX+HB9YRkLZV6hzArMz2bWS9wcNmk6h5SVpehIKSGVBGvdwHRQNIfCfH6Gqip0Qub20OatUeFFNByOjh5hMFjH5tVdRN1oCUTp6OtvNPgN6E6UAjljzfpKKeL9c0qIbuiTDoJotCsAWhVEXXLzcrXmRUfTQBljtugLAx8u53C1M1cpBELfQ+j58BhD9gyitxJSWzOf7wC888p38f4vfkTYDs5t8gGoKOCS1MUMCIu7jIC6qrbri2QyxmRyhPn8FHVdI4q66HQGlp3TBvV6HoFew7CDq1dfJhvuOEDc77Rof8TvT+cpUo2/yNPcugIqpew+enI0QZLO0O+voiw65/rswBcPzPazlqZzfPrpewiCCHHUR13TuVRLBakTA6DXP5oKKSuJEoSN2b59BWvFOk4eEzI9SeaAXk8NBuvY3r6NTmcAL/DoWdYAtbomT4MyMwI3lGQ6naEFsRlKl5ISNavBGT930Ts7memkTzLKhgYd92MsJnMtDtRI5Jp1hnmPAIHboi5JNUshkS3ovXrGN0R/T0EQ67OD8AEG2AfAnivm+kdRF8ONIdJ5iixLkCZTqFqCO549iwFY4R+lz4/zRqUdKBnjKLOOXd1IoYgpUJK0cl3X6K30kCc5OlGI7qhnQdUjqZaklQ3GqsgKa6sMaMdDTxezRQUlFQqz/uQcXOfQwPVwc30dw04H48UCLucohEBelkiLEpNFgv1PCUxvCpevU208F52vHUKUODp6iI9++Q5uvURa1mVWkrRk4NsDwNWc3Kinq8CSjGxcn7zOOxoLkCc5Ov0OBusDLWnbmIt4gdfsgwOP9oTjhe3uOWeWR2tU1Oz71KjUr5Iv/JoL8KW7IuKXl5hMDommFkR2r9+uVqfTE0wmtf0yfD9CbzCEH/lLh7of+WAug6+V6sqsRJWTLKWh0gCwOv+OQ5r8pgoVJRk1lHlp98RlXi7tPs8TYdiF5xFQ0g8DRDFV/oeHDzXoi6GqSvh+CCGIy811ZxhqH+1O0kGZ0e7a7Mek5mJT109/l8wWNoEDxBoRorCJ3HJUNb2vAdoxzGYnS7s4g4JWtbLvi33JxObroiwzHDz9FMnk2/bhB/ShKqgAMCDL2qn17yEJVVN8Rt1IM1WUVZfzAw/QBZEaNYBBxugZ8UOfwJMRsWV810XkaSCY1xIH0shel3H4nGt6T92ofQEaLFp+wcr16+J3/+3vYnx6iP39+5pC2SDwjT8CsTI4fD+EFGRB60e+nWAZ5Ha/v0bGXX6IMOggCKnAifqNhr7R22jznV29RzXPh5HG7a/2EYQ+klkKUQmks8x2p65n9uv0bzqdIXy/oeM+bxgmD2thGQCAMfr74+M9BEGMGzfeQLcztGdLVVS2+CCvdEF8c/1+8pTkxHsrPdx+i8y7DH05nWfLxb1+zstST/paxmhe4OH61VuYTI4xGm1ib+8jsqatGz8Jw5phzvm2uUZorCwUiiRvrI+1cJeUGRhzl55BS3XVz5moJOZnc7harXVyOMFsPENdS6vDAVCSKssCqJUVR2tjFRoFTI4gDuB6HPk8Q54nKIrMFgo1asvZJ5MaiRpf3rR+XZDhF3kAmGQMNHTKMi+sXHPci9EddnVj6lvzLPo5anS4y1EHHhyNBSnzEulMMxEY+S9IQdNa7jJ4gQ/mcsRahhsAQj0d64chmAPMshzTNEVeVaikxORwjEcPfwWAwH2mMb1wx/9swm8L2ACE5nzw6S/g+SFJKnKOwcoIvZUeytwYaORg3EEYh9qshgxfDDJ8uEmoVcNZ9kO/GcvXjfmM+Z3pLEU6S5Gn5HxVqxoSjZsSjVO5fU0DJlH+c+EYl6JW0gL6TLJbvg4MVZnj9PQJuQqOtuzP9Xoajct7dvziOA6YQzcUHWyupYO4rqu7BIUgDkiEqCZ1sKooGwGZZ1CmNEpX1uCDioBm/EgTCGUnMM8bbc1nx3Gs0c3+/n2k6dyO9YwRiBAlAcJcD34QLl0ng1A3421ZCc0CcOzv8lwfRZEiTafW/908gOabq1FBCGELK+q6NaremnZ49t/WSi7JYZ4nlJKYzo5xfLyHzrBjqXtS8/vt+kspKGiFOQPKNFr9+ns2tB8CyGqKWouOZlY2RgHRTL26ITl0ua3Cpa5rKF0Mme4fAIl/KGUPYe4QGl1U8twGTb///bdw+Pkh/s//cILp9HhJR50xksElHYqm2+MuGVeZaU8QkOmKuUZBECOII1Laa92LQRQg7JCIT77IbJcEkCSyuZZm+mhc97yAKHSllrT2fNcyZLqjHvo/XkWWzS9U9AGGtcH0qmlZAruqSjx+fA+ce7h27RUwzhFEIbIkBcvM2UiTq9HqJqIeTYzSWYrxwRjTk6mVGfcj3z4fRnzL1QYxqGu7spJ6ugQAqzur+N5/913S6N8/RRDE+Pjjt5cmXHbMf86OP5kk4C7ThjKFHVWbZkLKZWozUR/rJTCe4zhI5xlENUeR0Pnv+77W2ShRljrxFxlKXey7tQJj7hIFzegSBH6EqBtabYSyzCG0aicxICrL2VdaW8MI2Zw30nRqz5KqKpecEEUpkGULFEUKnpIYWzyILUXTFPe1akDmRpOBc06rO23sAzT+EkooOEzrobSc/ozJVl6V4MyByziYw2i0n2VYFDkcOHh0dw/7T2kiq4xBD77apOhrR/1fdvHaF1WIUsuHUrdtaGxmx5+nOd0sskbUDcGYoztYot+YRCYq6mqrFlra9cmQYnY6sxfLoNSN8I/ruxqFKrVwTWMCU6SF5fdfJMzFq+sv6fhbN7oQFZLFBN3uCEEQ22QMNLKLZmwVxxGiXoSedh4z3Rh3SRiiKivrbOZolHe2yK2Mqelu7UOupXqrkkx9jHOW+W8mzotxUFKgdj3NLa3Q69G+tdMZWmEU1/XstTEJuOMFtijgLrdeBqYjNu/f9RrjpCAKwPkIUdxDWa5rek+JNJ1isZjY/Z25x5hj1klsSbHNYAgAQGk6S63EhQ4AIwW6v38fV2+8gFK/hqwY7VtdbjUcuFalM2suU3gZYyKuE5WV+nQ5OTNKM6UgJUTuMisc5OgH3eMuStOF6f/1XRcuY7a7l7WC1Ace18WprOlAMfS388RGv48f/uF3ce/te3j/Fz+217+qcriuiyxbIPBDUvCTFfJMI9rjyI47yWTJBecusoysW6USiLs9ojK2nmelC5RSC9aYa0qFUsOjVg7d2yZRKmOFHXhwGLOsoF4nRice6G70IjReOjzNM9suHpSCPecePyZa2vXrr8IPt1DX0lquOo6DIIjRHXQRxiF1rD59pvl4hixZ6NduRJI4d+10k3su8tbzK6WAUzoIogDbt7bwwu4VJH/wFt79u3cRdiNMJkc4PPzcvg59jvoru74vi2SygNDThdHmCFfvUMFfZiUefnwfjsP0Lp7ZxGvOI5Oooy5RPqtcoSwqrUnhoSwKfQ21sqUUVnWReOcO4aXqGg7jFgcyWFnDcHOEMi+RzOZW5tdxqDiSsrLrDiP/y7h7oYI/zxOLx4njHqqS7inXc1FVuWYgLFCWxGCJ+x29CiSVVhPmtmtbVpv71jRhStW20HcYs+qWpmgz1FypauLqc41hUAqLglgGVV7hwXsPrEFTG4d3YTqf6Wroz8tjI8bpJu7EJDmZJBP4foT5/IxGM3o8OopGqLWYhSirJX12N19ORpRDCqJSGD5yXUOpemnkYkQ/HEbiIVKPXsyhk2vAoNm1ArhQ8m8nffq97fcqUZuRUFVgvhhjVeyg2xlCKmF3X8w3XV0DtiEObrb0u6TUXXFW6t0aVZQOaxIJADu6N0BBc7ATxoGq8XbCB3PAwexk4XmDcde6ZjmOY7vT0WgTk8kh0nQO36dOxvNC7eFdwohwAPqmlyS1ygOuzUya+8ok/t4KaRyYiUeRUcGWLTLMJmOrlT6ZHJH3tsFtmOIHaunPdD0FlGomChcJM9Y9PTrCYETcW9fjcKVq3Bn1Q8y4D6a/3yJrdq51XZNZFGd2fA1okKY03QT9bFu0ydNuX4H7xe/NbRkBKaUg6hqFENbcA9DufEV5IZ8GWdd4eXsbr/72q7h3923rtgjAcrilrKx+BRyyh22vXBhzgbpGnie6GCZBqGRe23E1QGu8PMm13wWNqYM4QDciJ0fTRZnVihG0sr+rrolj7nu4tbWprydNnuganV+qW0oa86MmcZqlM5A1gk1lmWFv7y4liaiPMIyxWDSaEcNhF2GHEj53yanQ8wkwJ4yyZ1Eh17two/wX6gmBoQoC0LgWAv1ee/U61ns9fPeNOzh5fIK9e3u4evVlTDQA13hYXCSEkAiiADsv7mD71rZVoZxPFojf6SPPEwskrEHXycg6G/W8sBOCuURzi/oxqrzCYrLA6RMOnDUKqEa0x5yxruvbv2OMw9fTjt6oCy/wcPTwCCenT5Clc6tUqOz6QAO6W/K9+JKG7euiLHMrfjOfnyE6pSnS6tYaXDeAECXyPEGeJ/S97w0s5mygGy5fg/88naPIzbWx9m67p7oe5UrOOVyXgzkOOkGA0Pfsjl9IiRwAlwKqBpKCpjGOQyZPn3zyzpI8MXOWha++LJ5r1O84TANFzAWlm6rXW0G/vwYAyLIFPC9EEMQoywyzU+Kf9ld6cP3QgiIALCGdbShK8AAdZq7uFq39aUs0JIgDa+SjdFfAXA6pd+LmwtKFZ3o/dLHE/+y1MH/v6E5TSUHytukMaTrHaLQFDtdWoIEfYbBCXHZTrNgdvNY5BwBHC4AwnSAYJ61y8r+ubfJXkva2ld77GwlV5jLtetdUlACNkeuWW+DzBnljU/KP+7HFbMRaVzvLFpjNTjAcboI5HDUa+VozAjYYDD8K4DBCJvdWehoNC1tMmGubJzmyeaadDh0rVjTViNV7736I/f37hFpmxB4xDoGdzhBpOsd0SodfGHYv7MVO141ATEWRYjo9sYmfgJKw79sALblep4gWiDRP6BBRoU8VvetaD4Bld0Vmddq55yIMCOhUCoGsLO09EnoEqgPIoqKuybNbKBLvycrSTgHylFzWpJQWmfy84TKGfhThxms3EASxTfzUbQiURW6fgbbGgtXMB3X8VlJV2696XrfRVmidJWaX6gXanW9AttztZ87o89d1DVVKK+nNXQYla6zurOLWBtkcPzk7s34OFwkqXmmqh5bZDecuSHegSS5VVWBv7yOEYQc3b76J4ZDeQ5pMkSRz+Ke0ugziAN1+BKBrhaEAmkoa/xElFKJuCM/3aJ2Z5FauGgCiThcvfOs2XriyjdDz0FtdxcvfeQmHDw8xGK3g2rVXAAB7ex9ZsbHzxlt/8Ba2Vkg7PitL5BU9y6vbq7j91gt4fO8x4TjqxguArpe0Cd0Um72VHlmSg866Ky9cwfxsjqoFwK5KgeO9Y+3nYRIi4SrM+L4qBc6enuHoyRMSTSszqxkgpdS4n2Y6QxNXaQuR84TxIlDaetgwS3p5D2Ecgk88DaYuMZud4ujoEfmq6EktAHRHXXQGHZun/FCfEUZsqqXC6nsuJXmHzHpczhG4LgLN3DEh9QQgr0rM89wW9b/6xw/x+PG9JaleVaslNtSXxdckft2tMm4R7gChMVdWr2Bz8zqUUkgWE23PWKDfX0W3O7Lqcek8I8GCwEOpPeYNHUW1xF6kkFaJzow73Gf22QB17txrizvUVqinrmttx2noTwGJw/Cvr4C+7hq0K1OA0e5MA/zMrp8S4QaiqGvHhFIJMOaAcdpDMpfb/Z4oq6XKv67RJH3d2UttAKJyPW4tRePE1xr5S73rfHaXb7zj+TlH/YxxlEWOOO6hM+jY1Yqvd7d5nthdvzvahGF6eF5ogV3ZIkOeRJqKGdhJTdgJEUSB3R8ClCSNTCglFGaNiAw9ripeRFGkGI8P9HfjQGgr3I2N60iSKfb27gKg6UCvt4JOZ3hhvXYhqACZTo8gKwJjKS2QZARbXK8ZRRt9btmaThGdrnFaDEvCurDWLlNBgYNbYRQhJapKQNYKhRD2APBd1x4O3HFQafOORZ5jkWb6HqDXTGak9+8Fnj1wzhNJUeDxvcdIFhNLa3WYeY96otEaUxOzQtlCwGBdjKyroWy5GtfSjEI1ra0XIerHdufv+a7FTACwmvhlDlT62jJOU6N4EONbr7+IjT51Z58cHDQW0BfofD2v0Z03SQSgTsqBYydIZsyd5wk+++yX4Jxjd/cOACAIO0jTKU4ODmyhIysJrs2szO5YavnmQGOblFJIZymSaYJkPrNFNOceXvzWi/jWD95AJ9DPEmN489o13H9xh4yy/Nfsd7G//wkIHHu+4uelnW1EfoBpmmprZ7r3hsMefv9Pfgdnkxne/bt38cl7975wfQ04N5kl6I66NMEIfRLy8ly417cgzDQFJECzSDPsfbSHD34sMT45ASl4lvb6AsDZ4TGYwzGeHKLU2v80leFQUpByoAH3Og4JrNUC3RYd9HnDfO9SCswXY8QzmjZ2uyMM10cYDNaQZTNUVQEhKqTpFLPx6RI2gSZQrnWaNfeux107yQOAyPPgttwlfU1NJNMtzwrw1KihaiAvSyRFgVLnzqNHR/jwlz9FmkztNF6oCs8jz/O1HT9zGBgn96VIS6yure5gdW0HruuTLKYiucnFYoyTk8dY27hivwjDu+0OO/DDAImTaEoHt2MigIBQtWp2vzQeI66wAfgBQKAPzfYInKR5aRRYFS3JUm0Iwjm3B/R5owHMtCcAityR6mYFILWE73xO1pNNwUCTjCIrrRyx2fe1w7y+UoqmK4AtZtp7e1NQtb3PyRXNMAmWE7+nJXTPu+pQSsIPQrz1e9/G7ku7eO/v3wNAD3W/v6blUOkzu66H4XATUdRFVeWYTo/ttSPPet9OXMzKRgmJzNLeasviYIyBaStlkeZW/x4ghsjKyjbSdAZRlXa3F4ZdjDaHGMgB7t6le/To8HMURUrjuuj8eu1bW7dwdPQ5yjLH2dlTu5/0g4C8BlL6HoIghpIEoPQCj8B+encvK3L3MqhdUdE0SghyuWsfmsaG1xjZ0OiUIQ/aUqxAGIdY6XYRuC4KITDLMiSL1ErgmqLDJH3zf+eJpCjwnz78Ff72P/4lxpNDK61s3le7WzfPL+F4BLyWwUknHsAPApQl+bUbbwrjKwHQVC7qxRisDxBoJgNZzzpWedJErczv1DRdTuujW2/cxEtb29bO9NHxCbKs8Zc4bxhpaCvLrBO/kJVdfTVRA3CQJFPcu/c25jNSuNzavkXTz6rAwZM9zCdz+GEAXxdiTcEuAMexU5k8pfudGqncFlLd7hAvfvtFbA4GCFzXrpU2+n387u99B2/3Yhx83jgRJosJMV7OueM/nM4w6nRwMp+jFAJXRgRSvr2xgc3BAO/v7eH06RmefnqA6fjMsmbaVsDJJEEyTBD3YnT6HXCPQ7mcAGtCQpQN3z1PcgRxgNHWCIvpHHm+0ADChvY2nRaoqhzJYmJ16F2XdCOkrAjBb9bQ+rqGYQfXrr92rs8OELZJ6c9Ulpk9y6KoizCOEPc66KdrtuuH46AoM8ynk8Zi3uUW39RMMWrABzzO4ekiwXNdhJ5Huvt2RdZgdyz2Q2NViqpCqQvFqqxw9yd38eTJfa1Xoe3duWfXU1+l3PeV2YCENProdkeIoh662mc9CGKoWiFNpy3ZRLqZDw4+w+rqDrZ2rto3n81Tsk7tNoeYqx9ok8Bcz7VId6Y7VCuWwhqkvuM4FgRIRhV6v6u7A6bdvszPum7zuv+cILCX4V9zayhjRSZqhSSZYjI5Qr+/Zv8+zxPMJ+RkFcQB7X2TGrxgzeoE0MDElva+mWjIJpEAsBxYCwCppL0B6X00P+uHdNj6kY8rL1w59+e9ceNN/Df//W/j2tqa1VuYHk/R663AdX0IkUCpGrMZyXmuru6AMw6hO8RkMcHpoQtjX1kVIVzfgzMlMFu7GTNIbpM8y7zUB39l8RCTowmm02OapjgOqpL2bYP+GsIuiW1sbd0EABwf79mqPEnOr9W/u3sHs9kJqqpEkjT3eX9lgCSZk8SoEiiKFHkeIQw7COOQcCct8x7Xd1HlFQq/0D4MRPcz7pQAfcfJLG2Nz7ntZttUVocxomtWBHAj8GphrxV3mV01yEoQPTDybdf8vPG//oe/wk//6h/x4Yf/gCCI0OuT1oRJatz1dBciAQG731ctFgxAidJVPnzfp3WP3uF7gWefUdejMTh1R2b1Qc87UzXabLSqFCg0RdVoYmxe38B3XnoBnSBAqbu1o0dHyLL58r73HGEkY0k3H1agywDHSCOCATCflYyxsmyBR3rilKQzrK3totsZgHHXdsMmzEFNINnAUgcb9oIEcxrmxOPH9/D+j2/g1RtXwTXGw+Ucvstxa2MDT26eIZnRpG396jpuHr+JDz/8R4jq/HTGcZJgPJ7B9V274x/EET47PsZ/fvdDlHmJ2cT4IBDAt0Zt1wuzyRj4HJbGOlRDVCElbCOyBsBOaNN5hu6gQ8/W3gRKY6RM5y+lsEh+tDp7M0kyksXmZxnj2N6+jTvfeuXcn70oM6ha0XSHMQuUJCvgCMMV0mshKmIOpQSkFHbqDRBDyzPradUUuML3IEOFVLOWukGIfhQh9pt8RcZgEqKQCPSqwhQKeVUhK0vUUmHv7iP88t0fIc8XYMxdWu0Y4OVXFX2Xkr2XcRmXcRmXcRm/QfGVbfD1668jjnuIoh6BdQxyUkkN3Ck0kpuqVM49ZNkCaTIF96jzchyq1Mu8RBAHGKz30RmStWqg9z8A4EeBBag5jkOOX1VblMd4vFfIK6HlaCsr7Woqwfbe2OzM/dC/kJgD0CBQzT6PPpOEwwmA4rpUbUlFO67J5EgbbJClYlGkKMuMpiflAL7vW5S88SYHaIVhroWUSoPklEX7WnSvvj4Kynb7qpZgjqt/rrKe957vYrgxxJ3v3cHvfufNc33uOO7h1R+8itd3dxH6PnZe3AEAPH2wjzy9joODT7UhBO3FzEhsdXXHGg/VtSIa1xPq1Fa3V8E9br8785lc37WSvnEvtp2BGf9Px9Rpjs+eallTjqoqtUyvRH+wTlK2nRDb27SL/+ijnyLPqy/wzZ83bt95HQcHnyJNaZ830yZFo7WNJUR9VRXEIJBC0918280BWpWQ5eCeiyIrkCc5qdCFnhV+EUJaZz6jNmkmX57vWrEbcx/70UJ/LgnZUmU0kq7mZ/2I7rXzOjP++f/8v+Ds7CnyPEGvt4KdnZcAAE/wMeazMztGFKKCb1ZOdQ3RolUBBBDlnCMMYzuZ41rsyNNKnIGW+VZKoSyUnVi4Hl+SmTbTLaLtEu1xdXsF33jjJdxYW4PjOBhr8aC9u4+QJFNIWS2BD583XLfRqDDaBUCjJrcsMNOsKwlzoj3pjx8hSSZYX7+K1dUdKCkQxX39MyUKjYOhFZ1Lbm8tuVrfp/t2ckKTtv39B/jr//jv0V/t48/+zb8EdxxLFe6HIW6ur+NojRxMk0mCK7eu4vj4Gvb3H5zrszsOkJcVZEVrt0SvuO4fHuH+4SFcl+OzX36Gd975G2xsXMfOzosa9NgwoKoq1857Zv1KcrtVXlnTHgAWoGawTlVR6XNPaIdILWikWQMNRdoAu5XVG2mPD0ejTdx+9VWs7ayf67MDNNWBphMa0GJzbRyyVe8O6DPrdRCJBikIQdfKTPq8gJ5XIaRdWQdxYJ/7skcGO0JJcIcRUF3v+DljZliAUhCAfJqmmM0WONk/xXs/+hn2Hn9kHUlNd9+m86mvAHh+ZeJfXdmG65nDo7DykUopoFaoa1JIki3ZRsdxEHcGuPUN0jh/+uApRCmQThMEUYCoG6Ez7GqUI7ejEKNt7bRG+hJN0jc7TKtOV2hVu0rY5E/I39buVLMD2mCiiwQ92LTLA1pcetT2GpibvigynJ0dWDSo70fIs7ndT3W7Q7iuT2A9h7jPAJaQ10oq65BlaY2W8VADqMFq4wzHwOoGJe26oVVDvPnGTfzW738L37l5E+sa+PS84fsRNq5tkIAM53jrJfo+9+7toSwqbB7etGIWSjXJv65rDAbE9AiDDjw/RFnmOHz6EGcnB4iiLhhztWZ7kySMtWcYdokbrvm0ZpwO0O9wXQ9FkdmDPYr6GK6sWQzB5nUquAb9NaTp7EJJHwD+8N/9C3SHXfzt//G/4cn+fUsplFIiDDuoa2JymO+9rApIJeD7aqnIbOsusDkVx15Abovt3XtVVJCCuOx5ntCKyg0s0h0A4l5ssS8GHMk5s6NyKZXFUBixEKEP8fPE2dlTK31a1zW2bxCXO+72cO/u27Q6cQHuNGJJDidmh0mCBHya22cxqCP993QAmkLe4B7MNTL3vmF9+Fa/AtbXg3OG/toAb3zzDl7b2YHnuuCM4cEhuWM+uktrnmcTwnmCkn9Mayc9LmcOg3JaGh3cWGU337H5b0op7UJYY2XlCm699DqqUiCZzyCET6BHQI+q6buWokKllSnTdIaTk8c4Pd3Xv4ujLHP8zb//C+y+tIs/+e3vaYAfgcN2V1fxyTatZKYnUywmC1y/+SoWi8m5PvdkTg56rk/o9V988An9fpdjfjbH00+f4oOfvY00neHRo1/B8wKsr1/V18GAHqkJmp7RCrDKS/iRjzIjGrPB7JR5aUfzBiRppGZJK8Y8R1KvbT0Ant3nO3oX7ziNZG+vt4IX7ryJ3Rd3bHF5nlBKQaCCY1gK+v5ZOHQdpahQlpukT5EvkGULGFVWA2o2lE7uco1XapocA/QDgO6wRzotgw44YygrAYcRna8bLgt3SaWwfzbG0aNjvPf37+L9D36ENJ1pzAmz67z2auur1lxfmfiV/hKklEv7bCUFyqqwKmo1zLtAKyIAAAmjSURBVM3roaroS7z1BnX8RVpgfDBGtsgRzBJ7WDGXo8rLJRUvAklpswVt7EKGLZXlRit9uJn9kJJkjckYWWI6zEEtWkhg3zu3at2vj+VqqnYo4TO98+OcoVYSk/GhBZStr1+D54d2T5UkM8Ra/tZ4cAME0Iv7MTz9wFVFRQYghq9vQHHKoJWJRlMrhRoKjHkI4wi7d3bx2g8J1PKDV+/g5vo6+TYLYdGkzxNBECHuR5pdwfHS9jYA4Fu/8ybKrMTx410cH++BDFZyLSJUYDY7sZV6pzOA74eIoj5c10OazjGfn9nuwCRlomBq9LLrWaEe2nc3u3DHYUjTObJ0Bqmr2cFgzZplKCHJtx3A5tZNHB49tAfLeeN3Xn8V3V4Hru/i//nLv7AHixIKru+i6w3geYEuUCqrebCE7gWxSepaQgiBPE+Wdr2mG2V6Z2s7PilQaq3xPK+RLrQvwZnmNa/0MFwfElNEy/w6jgNRltbCtzOk4sSAa88T7UNXiMoeoDdeuwEA+OzBBxiPD5qkBQLSOmCoayM7K1CWmd1bAk0R1NaZEJUgNU9O37HRdXd9upalNaciETDucaxeWcUb33kZb12/hl4UweMcaVHglzpJPXnysb3HLkLoMxMNz/NRq9jiFoSgA7NUprMj5oLp0tvAR3PQp+kMd+/+Z8RxD7/3p38E1/csNRYgsKYXeiizEj/5y3/A/fs/hxAl5vMz5Hlip2dhOELgR5jNTvD3f/53uLG7he/dvm1fpx+GeGmLit7FeI5kkqC30sPOzovn+uyenr4lkwVEJa3d6/jgjCSTV3r4l3/2JxCixLvv/i3u3fsn5PkCm5s3EQRU3JnroWqJydkJiiyH53n2jDA0PfMdtfOKpUwSIMR+H2hRQDlzW7gSAgF2uwRCvPXCG7j+2g30V/vWLOxcn9/zNYCQJjuFsVLX3X9VFlgkE8RxH0pJpGljDmamPXme4MmTj0mlMC8x3Bxabr/DHMvoWEwSDBYDK/VM3iqkcdEdNj4VUlA+2L//BO//6AP800/+CmdnT23eAbAMbtT3Ye38MyR7q6qwNBYLoFCyBerjcOBoH2N6QLJ0hpUhdZg//KPv4bP7e3j4q0eYnhAnVQkJLyBjjjaYTVbCInZFJexotI3s5ZxprfeaQFNZQSAS7pLQT+tnfZcutJTqQgI+xozCcX69CMqXUR6LIrWV+tbmTfhBpLvD2prQuEaTX99YNEKsyeykri1H36D12+YVJJGboyoLOIwhjvtY213DK7/1Cr73nddwRyfpwPMglITUxcN5Ej/nHlEhNcrUgHx+8MILSMsC87M59vc/QZJMLAq6Bglg1DWpSBHV0aGufLiBTmcA1+1bvW5b5NXSjrgBPPNnGrcCQJbNkaYzXfwQVWxr6yYi7dwINOpY29u38PHHb2M+H//a7+6rohMEePPqVXh/9gforfTwq598SNdUc3MdXWgGSYg8NQmOa5AWvYajwT1CSDhg2tmODFboXmju1SCI4boBwrADP/Tt+swAAQESRjETAD/yqesPfThcm8M4DuIBJQrPd0nZqyiXnp/nDdNhSVnZadPK9grJSa/2cf/DD3Fy8lh31gwuoxWHqpvxIjFSBApNtzJeDhmaRpwAr8wq8JGpCU3yGGMW2GhUzrZvbeOb330Vb127hn4UgTMGqRT2zs7wi//3lwCA09OnlLTrL1ce/frPrqeOtYLnB/bvs3wBIajTN89r++Xb9Lb2n/M8wTvv/A3qusa/+Ld/jPXddVtMRd0InDOk8wxpMsXDhx/Y9x0GHZtMPS8Adz14XoDHDx/g//7ffwz3Txm+eeMGIt9H4HlWx6CUEv2VPjZvbGJ1e/Vcn11UEv1BF67Lcbx3bPVYirRAOs9oivjt19AddTH+nw5xePg55rNThGHXahiQBgglXaWk1tZnXyiKOOdgjg+ln3/GXXCY68fAuVkdNC6Jptik90pNU7c7wo3bBOS78foN9Nf68CPfqseeJ7rdkZ4mChjaIL2HQjdqFbJ8odlMvtUvaI/WHYdhMjlCli2QJFNsnd5Etz+Ap8f/BsjMXY7FeIH52dwmfjPlmnZC60jLOcf4aIyf/+07+PnP/wYnJ08ANLlgiVbZ0hi5cMfPuQchSkgl7Y0OkBGCEKUd0ThaT11w+iKyfAGhi4A//fa3cXT7Fv4i+inu/vQuFpMEZVGh0+9YAQgTUpL2fq2UPrS0RWTLdMdIwFY5TQPqmpTR6pprfeTG+MbR1CHu8qXkcJ4wF7Cun/UtaNTTHDhwjERs7djKFQC+8cPvY/P6Bn71k7t4uvcQUlTPcITNiEZYgwjOGRUxz0jVArAJX9W0G+wPV/DaD1/D67/1Kt68ehW9KLLSrmTbSkmsbfDyPMGeGTOZm2jY6eC/vvMysj/McfToCJPxIRKdxGg01ozdjMBLXU9BHG+OToesej0vhMv159OTpUb1r9KvR/uzXKNliyKFEJXdva2uXsFofc1KoaJVnK5srqPbHWE+P7uQkEvgumBxhDvb25j/zut21XT4+SFcvZM2fHPOOfKU/rvhaZvPr5QCr2vUNaeDW1vFeq5vjUkYY4jjLnorPQSxNucJg4bWWC6v0gwyvnH+ExbF3zM2qiB9dalFYc4VjvOFDhbQimxaSMcPPNz/ILTeDeY7beyQ9SSMcauqFgSRnXJUGtnMPQ6feY0Et+da0ylXm/cAQGcQ4+Ybt/Cdb72CF7c2Efq+NiZSqITAew8f4pMP3l/6GP+cUb/jOKhBaqVGBkLICsbyFoC957/skG3fc47DkGUL/Pzn/xc49/Df/o//yn4nhsHAXYYsX9gGyw8iBGHH4nVoourD1xoDD957gL8G4P5rbjv/fkQ/++bVXbywsYGj3V28s3k+LvtivIC3MYTrewjioHEb5AzZIsPpkxMkrxf4wfffxMN//T/gZ//px8jSOSaTQ0uhXFnZttM+468AENXMdOoA6LtxHDBwgNH5bz6/sd2ma8TgOGTZW9fSNkxVVWI43MCN2y9jV0sL91f71jbXsETOE+RK6iBJZhCihKfH8laXRYsFUUNGz/yz370DhQpGDEggzxfo9VbAmAvfb0mac47osK+lrsnG2vMDxP0YnUHHmv64voeP/ukj/Oxnf42Tk8dLBVRTgH4xyX/VpNO5SDd0GZdxGZdxGZdxGf//jEs632VcxmVcxmVcxm9QXCb+y7iMy7iMy7iM36C4TPyXcRmXcRmXcRm/QXGZ+C/jMi7jMi7jMn6D4jLxX8ZlXMZlXMZl/AbFZeK/jMu4jMu4jMv4DYr/ArlvQbLk9KpIAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f205d255e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "fig, axes = plt.subplots(3, 8, figsize=(9, 4),\n",
    "                         subplot_kw={'xticks':[], 'yticks':[]},\n",
    "                         gridspec_kw=dict(hspace=0.1, wspace=0.1))\n",
    "for i, ax in enumerate(axes.flat):\n",
    "    ax.imshow(faces.images[i].reshape(62, 47), cmap='bone')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<h2o4gpu.solvers.pca.PCAH2O at 0x7f20d494d630>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca = PCAH2O(150)\n",
    "pca.fit(faces.data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this case, it can be interesting to visualize the images associated with the first several principal components (these components are technically known as \"eigenvectors,\"\n",
    "so these types of images are often called \"eigenfaces\").\n",
    "As you can see in this figure, they are as creepy as they sound:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f205d0ce2b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(3, 8, figsize=(9, 4),\n",
    "                         subplot_kw={'xticks':[], 'yticks':[]},\n",
    "                         gridspec_kw=dict(hspace=0.1, wspace=0.1))\n",
    "for i, ax in enumerate(axes.flat):\n",
    "    ax.imshow(pca.components_[i].reshape(62, 47), cmap='bone')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The results are very interesting, and give us insight into how the images vary: for example, the first few eigenfaces (from the top left) seem to be associated with the angle of lighting on the face, and later principal vectors seem to be picking out certain features, such as eyes, noses, and lips.\n",
    "Let's take a look at the cumulative variance of these components to see how much of the data information the projection is preserving:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f205f4c7198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(np.cumsum(pca.explained_variance_ratio_))\n",
    "plt.xlabel('number of components')\n",
    "plt.ylabel('cumulative explained variance');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see that these 150 components account for just over 90% of the variance.\n",
    "That would lead us to believe that using these 150 components, we would recover most of the essential characteristics of the data.\n",
    "To make this more concrete, we can compare the input images with the images reconstructed from these 150 components:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Compute the components and projected faces\n",
    "pca = PCAH2O(150).fit(faces.data)\n",
    "components = pca.transform(faces.data)\n",
    "projected = pca.inverse_transform(components)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f20b8034da0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the results\n",
    "fig, ax = plt.subplots(2, 10, figsize=(10, 2.5),\n",
    "                       subplot_kw={'xticks':[], 'yticks':[]},\n",
    "                       gridspec_kw=dict(hspace=0.1, wspace=0.1))\n",
    "for i in range(10):\n",
    "    ax[0, i].imshow(faces.data[i].reshape(62, 47), cmap='binary_r')\n",
    "    ax[1, i].imshow(projected[i].reshape(62, 47), cmap='binary_r')\n",
    "    \n",
    "ax[0, 0].set_ylabel('full-dim\\ninput')\n",
    "ax[1, 0].set_ylabel('150-dim\\nreconstruction');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The top row here shows the input images, while the bottom row shows the reconstruction of the images from just 150 of the ~3,000 initial features.\n",
    "This visualization makes clear why the PCA feature selection can be successful: although it reduces the dimensionality of the data by nearly a factor of 20, the projected images contain enough information that we might, by eye, recognize the individuals in the image.\n",
    "What this means is that our classification algorithm needs to be trained on 150-dimensional data rather than 3,000-dimensional data, which depending on the particular algorithm we choose, can lead to a much more efficient classification."
   ]
  }
 ],
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